Determine the value of .

MATHEMATICS · Single correct · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

Determine the value of

\displaystyle\lim_{x\to0}(1+5x)^{\tfrac1x}

. (a)

e^{1/5}

(b)

e^5

(c)

5

(d) The limit does not exist.