why 0/0 is a indeterminate form ?

The most common example of an indeterminate form occurs as the ratio of two functions, in which both of these functions tend to zero in the limit, and is referred to as "the indeterminate form 0/0". As x approaches 0, the ratios x/x3, x/x, and x2/x go to ?, 1, and 0 respectively. In each case, if the limits of the numerator and denominator are substituted, the resulting expression is 0/0, which is undefined. So, in a manner of speaking, 0/0 can take on the values 0, 1 or ?, and it is possible to construct similar examples for which the limit is any particular value. More formally, the fact that the functions f(x) and g(x) both approach 0 as x approaches some limit point c is not enough information to evaluate the limit \lim_{x \to c} \frac{f(x)}{g(x)}. \! read less

Indeterminate form In calculus and other branches of mathematical analysis, limits involving algebraic operations are often performed by replacing subexpressions by their limits; if the expression obtained after this substitution does not give enough information to determine the original limit, it is known as an indeterminate form. The term was originally introduced by Cauchy's student Moigno in the middle of the 19th century. The most common indeterminate forms are denoted 0/0, ?/?, 0 × ?, ? ? ?, 00, 1? and ?0. read less