Which of the following best characterizes the limit ?

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

Problem

Which of the following best characterizes the limit

\displaystyle\lim_{x\to 0^{+}} x^{\sin x}

? (a) It is an indeterminate form of type

0^{0}

that approaches

0

. (b) It is an indeterminate form of type

\tfrac{0}{0}

that approaches

0

. (c) It is an indeterminate form of type

0^{0}

that approaches

1

. (d) It is an indeterminate form of type

0^{0}

that approaches

\dfrac{1}{e}