The function is defined by

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

The function

f

is defined by

f(x)=\begin{cases} \sin x, & x\le \dfrac{\pi}{2} \\ \ln x+c, & x>\dfrac{\pi}{2} \end{cases}

. If

\displaystyle\lim_{x\to (\pi/2)}f(x)=1

, determine the constant

c

.

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