The function is defined by for and

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

Problem

The function

h

is defined by

h(x)=\dfrac{\sin x}{x}

for

x\neq 0

and

h(0)=k

. Determine the value of

k

that makes

h

continuous at

x=0

.

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