Let g(x)= cases x x , & x 0, 1, & x=0

MATHEMATICS · Multi-part · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let g(x)={sin⁡xx,x≠0,1,x=0.g(x)=\begin{cases} \dfrac{\sin x}{x}, & x\ne0,\\ 1, & x=0. \end{cases} (1) Part (a) — Continuity verification at the origin (2) Part (b) — Limit of the difference quotient at the origin (3) Part (c) — Derivative formula for x≠0x\ne0

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