Consider the function f(x)= cases x, & x<0

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

Problem

Consider the function f(x)={sin⁡x,x<0,x,x≥0.f(x)=\begin{cases} \sin x, & x<0,\\ x, & x\ge 0. \end{cases} Explain briefly whether ff is continuous at x=0x=0 and why.

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