For the function f(x)= cases x x , & x 0 1.1, & x=0 cases determine whether is…

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

Problem

For the function f(x)={sin⁡xx,x≠01.1,x=0f(x)=\begin{cases}\dfrac{\sin x}{x}, & x\neq 0\\ 1.1, & x=0\end{cases} determine whether ff is continuous at x=0x=0 and name the specific type of discontinuity present, if any.

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