L Hospital S Rule

We are given the limit: We can apply L'Hopital's Rule to evaluate the limit, as this is an indeterminate form when . L'Hopital's Rule states that if the limit is in the form , then: First, compute the derivatives of the numerator and denominator: The derivative of the numerator is: The derivative of the denominator is: Now, apply L'Hopital's Rule: Evaluating the limit at : Thus, the value of the limit is: