(Solved): Calculate the limit algebraically. (If an answer does not exist, enter DNE.) \[ \lim _{x \rightarr ...

Calculate the limit algebraically. (If an answer does not exist, enter DNE.) \[ \lim _{x \rightarrow-1} \frac{x^{2}+8 x}{x^{2}+x} \] If the limit does not exist, say why. (If the limit does exist, so state.) The limit does not exist because the left and right limits exist but are no The limit does not exist because it diverges to \( \infty \) or \( -\infty \). The limit does not exist because only one of the left or right limits exists The limit does not exist because one side diverges to \( \infty \) and the other si The limit does exist and is a finite number.