For , let . Determine the value that should be defined for so that is continuous at…

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

Problem

For x≠0x\ne 0, let g(x)=sin⁡4xxg(x)=\dfrac{\sin 4x}{x}. Determine the value that should be defined for g(0)g(0) so that gg is continuous at x=0x=0.

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