Describe one algebraic manipulation that can be applied to simplify the expression…

MATHEMATICS · Subjective · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

Describe one algebraic manipulation that can be applied to simplify the expression

\dfrac{\sqrt{x+4}-2}{x}

near

x=0

so that its limit as

x\to 0

can be evaluated, and explain in one sentence why this manipulation removes the indeterminacy.