lim x-->2- (-4x^3+1/x-2)
find the limit as x approaches 2 from the left.
Thanks!
Take note of the following:
As we get closer to 2 from the left, $\displaystyle -4x^3+1$ gets closer and closer to $\displaystyle -31$, but $\displaystyle x-2$ approaches "negative" zero.
This implies that the ratio $\displaystyle \frac{-4x^3+1}{x-2}$ approaches $\displaystyle +\infty$.
Thus, $\displaystyle \lim_{x\to2^-}\frac{-4x^3+1}{x-2}=+\infty$