For what real numbers and is the piecewise function h(x)= cases x, & x 0

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

For what real numbers

a

and

b

is the piecewise function

h(x)=\begin{cases}\sin x, & x\le 0,\\ ax+b, & x>0\end{cases}

continuous at

x=0