Let be defined by h(x)= cases x,&x3

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

Problem

Let

h

be defined by

h(x)=\begin{cases}\sin x,&x<0\\ ax+b,&0\le x\le3\\ e^{x-3},&x>3.\end{cases}

Determine the values of

a

and

b

that make

h

continuous on

(-\infty,\infty)

.

Related theory

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