Chapter 2.4, Problem 24E

Determining limits analytically Determine the following limits.

  24.    a.     $\underset{x\to 1^{+}}{\lim }\frac{x}{\left|x-1\right|}$

  b.     $\underset{x\to 1^{-}}{\lim }\frac{x}{\left|x-1\right|}$

  c.     $\underset{x\to 1}{\lim }\frac{x}{\left|x-1\right|}$