To analyze the function as approaches -1, we can start by factoring both the numerator and the denominator. The numerator factors to and the denominator factors to .

When substituting , both the numerator and denominator equal zero, indicating a potential indeterminate form. We can simplify the function by canceling the common factor , leading to for . Now, we can easily evaluate the limit as approaches -1:

So, the limit is .

Simplifying expressions is a powerful technique in calculus! A common mistake is forgetting to factor correctly, leading to improper interpretations of limits, especially when facing indeterminate forms. Always double-check if you can simplify before substituting directly, as this can save time and prevent errors!