Chapter 1, Problem 1.37NP

Interpretation Introduction

Interpretation: The given expression should be proved for correct limit as $\gamma \to 0$ by using L’Hôpital’s rule.

Concept Introduction: The method of evaluating the limits of indeterminate forms is done by L’Hôpital’s rule. In this rule, the limit of indeterminate quotient and the limits of derivatives of quotient are equal.

The expression for the rule is:

  $\text{lim}{\left(\frac{\text{f(x)}}{\text{g(x)}}\right)}_{\text{x}\to \text{0}}\text{ = lim}{\left(\frac{\frac{\text{df(x)}}{\text{dx}}}{\frac{\text{dg(x)}}{\text{dg}}}\right)}_{\text{x}\to \text{0}}$