- #1

- 16

- 0

## Homework Statement

$$\lim_{x\rightarrow -2^-}\frac{x}{x^2+x-2}$$

**2. The attempt at a solution**

Clearly, when graphing the above equation, the limit does not exist (or approaches positive infinity). However, when applying L'Hopital's Rule, we have $$\frac{1}{2x+1}$$ and then we can go ahead and substitute -2 in place of x, which yields a result of -1/3. Can someone kindly explain the discrepancy?

Thanks for your time and your help.