Which one of the following limits equals ?

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Which one of the following limits equals 11? (a) lim⁡x→∞(1+1x)x\displaystyle \lim_{x\to\infty}\Bigl(1+\tfrac{1}{x}\Bigr)^{x} (b) lim⁡x→24 x−2\displaystyle \lim_{x\to2}4^{\,x-2} (c) lim⁡x→1log⁡3(x)\displaystyle \lim_{x\to1}\log_{3}(x) (d) lim⁡x→0+5x−1x\displaystyle \lim_{x\to0^+}\dfrac{5^{x}-1}{x}

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