Mathematics

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}