Determine the value of for which the function g(x)= cases x x , & x 0, [4pt]k, & x=0…

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

Problem

Determine the value of kk for which the function g(x)={sin⁡xx,x≠0,k,x=0g(x)=\begin{cases}\dfrac{\sin x}{x}, & x\neq0,\\[4pt]k, & x=0\end{cases} is continuous at x=0x=0.

Related theory

Browse the problem library