L'Hospital's Rule

is a method for finding the value of a function using derivatives. This method is use when, the value at a point don't exist.Suppose there are continuous function f(x) and g(x) that are both zero at x=a. Then, the limit cannot be found by substituting x=a since it give 0/0 which cannot be evaluated we use 0/0 as a notation for an expression known as an indeterminate form may be evaluated by cancellation or rearrangement of terms. However, this does not always work.For example, how would you evaluate ? Obviously inserting x=0 will give an indeterminate form of 0/0 and, in this case you can neither use algebraic manipulation nor rearrangement of terms to reduce this expression into a form that yield a valid limit.If f and g are differentiable function such that1. or