Chapter 1, Problem 2RE

In each part, complete the table and make a conjecture about the value of the limit indicated. Confirm your conjecture by finding the limit analytically.

(a) $f\left(x\right)=\frac{x-2}{x^2-4};\underset{x\to 2^{+}}{\lim }f\left(x\right)$

(b) $f\left(x\right)=\frac{\tan 4x}{x};\underset{x\to 0}{\lim }f\left(x\right)$