Determine the constant for which the function g(x)= cases |x|+m,& x<0

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

Problem

Determine the constant

m

for which the function

g(x)=\begin{cases} |x|+m,& x<0,\\ x^{2}+1,& x\ge 0 \end{cases}

is continuous at

x=0