Limits

Step 1: Rewriting the limit expression.
We are tasked with evaluating the limit:

Step 2: Rationalizing the numerator.
To simplify the expression, we multiply the numerator and the denominator by the conjugate of the numerator:

Step 3: Simplifying the expression.
Using the identity , we get: Simplifying further:

Step 4: Evaluating the limit as .
As , , so the expression becomes:

Step 5: Conclusion.
The solution to the limit is .