For the function h(x)= cases e^ mx -1 x , & x 0 m, & x=0 cases which of the following…

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

For the function

h(x)=\begin{cases}\dfrac{e^{mx}-1}{x}, & x\neq 0\\ m, & x=0\end{cases}

which of the following describes the values of

m

for which

h

is continuous at

x=0

? (a) Only

m=0

(b) No real value of

m

m

(d) Only

m=1