Explain why approaches a finite limit as

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Explain why f(x)=x(1+1x−1)f(x)=x\left(\sqrt{1+\frac{1}{x}}-1\right) approaches a finite limit as x→∞x\to\infty, and state that limit.

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