Take Engineering Diploma Tuition from the Best Tutors
Affordable fees 1-1 or Group class Flexible Timings Verified Tutors Let's solve a problem on limits
Find limit: x→0 (1 - cos2x ) /(x²)
On direct substitution we get 1 - 1/0 = 0/0 which is in indeterminate form
Let's substitute (1 - cos 2x ) = 2 sin² x
= limit x→0 (2 sin² x )/( x² )
= limit x→0 [ 2 ( sin x / x )² ]
= 2 [ limit x→0 (sin x / x) • limit x→0 ( sin x / x ). { limit x→0 (sin x / x) = 1}
= 2 [ 1 • 1 ] = 2
∴ limit x→0 ( 1 - cos 2x ) / x² = 2.
Find Engineering Diploma Tuition near you
Learn from Best Tutors on UrbanPro.
Are you a Tutor or Training Institute?
Join UrbanPro Today to find students near you39 Answers
The best tutors for Engineering Diploma Tuition Classes are on UrbanPro
The best Tutors for Engineering Diploma Tuition Classes are on UrbanPro
0
