Chapter 1, Problem 22RE

(a) Write a paragraph or two that describes how the limit of a function can fail to exist at $x=a,$ and accompany your description with some specific examples.

(b) Write a paragraph or two that describes how the limit of a function can fail to exist as $x\to +\infty$ or $x\to -\infty ,$ and accompany your description with some specific examples.

(c) Write a paragraph or two that describes how a function can fail to be continuous at $x=a,$ and accompany your description with some specific examples.