Chapter 1.2, Problem 3QCE

Find the limits.

(a) $\underset{x\to -1}{\lim }{\left(x^3+x^2+x\right)}^{101}=\text{\_\_\_\_\_\_\_}$

(b) $\underset{x\to 2^{-}}{\lim }\frac{\left(x-1\right)\left(x-2\right)}{x+1}=\text{\_\_\_\_\_\_\_}$

(c) $\underset{x\to -1^{+}}{\lim }\frac{\left(x-1\right)\left(x-2\right)}{x+1}=\text{\_\_\_\_\_\_\_}$

(d) $\underset{x\to 4}{\lim }\frac{x^2-16}{x-4}=\text{\_\_\_\_\_\_\_}$