Evaluate _ x 0 x ,e^ ( 1 x ) .

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

Problem

Evaluate lim⁡x→0x esin⁡(1x).\boxed{\lim_{x\to 0}x\,e^{\sin\left(\tfrac{1}{x}\right)}}.

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