Evaluate ( _ x 0^ + (1+ 2x )^ x

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

Problem

Evaluate

\displaystyle \lim_{x\to 0^{+}}\bigl(1+\sin 2x\bigr)^{\cot x}.

(a)

e

(b)

e^{2}

(c)

1

(d)

e^{4}

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