UrbanPro

Take Class 12 Tuition from the Best Tutors

  • Affordable fees
  • 1-1 or Group class
  • Flexible Timings
  • Verified Tutors

Search in

Hi friends. I thought of sharing something wonderful i found on web so that it can help all of us & augment our understanding of the topic - 'Limit' . I have shared the complete pdf in my profile gallery or the original web link at the end of this post. An Intuitive Introduction To Limits Limits, the Foundations Of Calculus, seem so artificial and weasely: “Let x approach 0, but not get there, yet we’ll act like it’s there… ” Ugh. Here’s how I learned to enjoy them: What is a limit? Our best prediction of a point we didn’t observe. How do we make a prediction? Zoom into the neighboring points. If our prediction is always in between neighboring points, no matter how much we zoom, that’s our estimate. Why do we need limits? Math has “black hole” scenarios (dividing by zero, going to infinity), and limits give us a reasonable estimate. How do we know we’re right? We don’t. Our prediction, the limit, isn’t required to match reality. But for most natural phenomena, it sure seems to. Limits let us ask “What if?”. If we can directly observe a function at a value (like x=0, or x growing infinitely), we don’t need a prediction. The limit wonders, “If you can see everything except a single value, what do you think is there?”. When our prediction is consistent and improves the closer we look, we feel confident in it. And if the function behaves smoothly, like most real ­world functions do, the limit is where the missing point must be. Key Analogy: Predicting A Soccer Ball (associated pics in original post) Pretend you’re watching a soccer game. Unfortunately, the connection is choppy: So we missed what happened at 4:00. Even so, what’s your prediction for the ball’s position? Easy. Just grab the neighboring instants (3:59 and 4:01) and predict the ball to be somewhere in­ between. And… it works! Real ­world objects don’t teleport? they move through intermediate positions along their path from A to B. Our prediction is “At 4:00, the ball was between its position at 3:59 and 4:01?. Not bad. With a slow ­motion camera, we might even say “At 4:00, the ball was between its positions at 3:59.999 and 4:00.001?. Limits are a strategy for making confident predictions. Limits aren’t the only tool for checking the answers to impossible questions; infinitesimals work too. The key is understanding what we’re trying to predict, then learning the rules of making predictions. Happy math. (Original author - Mr. kalid ) Original post link: http://betterexplained.com/articles/an-intuitive-introduction-to-limits/ My profile link: https://www.urbanpro.com/delhi/pankaj-k/2531974 You may find more interesting stuff and information that can be of some help to you. I will be adding more pdfs in gallery soon . Sharing is caring.

Asked by Last Modified  

6 Answers

Follow 0
Answer

Please enter your answer

Headstart to assured 95+ score in math

If one wants the pdf in my galley on 'limits' can give a better understanding of the same material.
Comments

Proficiency in Mathematics

Maths is more interesting stuff to those who worked day to day.
Comments

Trainer

interesting piece of in formation
Comments

very nice thought
Comments

Great Pankaj
Comments

lets see how it is going on.
Comments

View 4 more Answers

Related Questions

5 boys and 5 girls are sitting in a row randomly. The probability that boys and girls sit alternately is...... ?
There are total 10 seats. _ _ _ _ _ _ _ _ _ _. Case 1 1st seat is occupied by a boy. For this, the number of choices are 5. 2nd seat is occupied by a girl. For this number of choices again...
Kumar Upendra Akshay
How were the heavy elements from iron to uranium made?
They are released in supernovae, but are made over the life of a star, over many millions and billions of years. The gravitational pressure of a star is so great that it compresses the gasses in its...
RAJ KUMAR S.
What is Angular JS?
AngularJS, commonly referred to as Angular, is an open-source web application framework maintained and a community of individual developers and corporations to address many of the challenges encountered...
Anaveerappa
0 0
8

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Keep writing a habbit
Whenever you start study take some notes of it , make points describing that topic and start using highlighter so next you can revise the main points on the go.
L

Leena S.

0 0
0

Trade Discount
Trade discount is an income for the buyer of goods. It is shown a net of cost of purchase and does not get accounted as a specific ledger account.

Interest On Drawings
Interest on drawings in charged by the firm only when it is clearly mentioned in Partnership Deed. It is calculated with reference to the time period for which the money was withdrawn. Case 1: When...

Atomic Structure
All substances are made from atoms. Each atom is made of a nucleus - containing protons and neutrons - surrounded by electrons. The atomic number is the number of protons in an atom. The elements are...

Importance of Measurements Units and Uncertainties.
This is the foremost important physics topic. Students very often than not forget Conversion of Units of physical quantities to one system while solving numerical questions. This leads to wrong answers...

Recommended Articles

Swati is a renowned Hindi tutor with 7 years of experience in teaching. She conducts classes for various students ranging from class 6- class 12 and also BA students. Having pursued her education at Madras University where she did her Masters in Hindi, Swati knows her way around students. She believes that each student...

Read full article >

Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...

Read full article >

Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...

Read full article >

Radhe Shyam is a highly skilled accounts and finance trainer with 8 years of experience in teaching. Accounting is challenging for many students and that’s where Radhe Shyam’s expertise comes into play. He helps his students not only in understanding the subject but also advises them on how to overcome the fear of accounts...

Read full article >

Looking for Class 12 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you
X

Looking for Class 12 Tuition Classes?

The best tutors for Class 12 Tuition Classes are on UrbanPro

  • Select the best Tutor
  • Book & Attend a Free Demo
  • Pay and start Learning

Take Class 12 Tuition with the Best Tutors

The best Tutors for Class 12 Tuition Classes are on UrbanPro

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more