Determine the value of _ x 0^ + x , (1+ x , ( 1 x ) ).

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

Problem

Determine the value of lim⁡x→0+x ln⁡(1+x sin⁡(1x)).\lim_{x\to 0^{+}} x\,\ln\bigl(1+\sqrt{x}\,\sin\left(\frac{1}{x}\right)\bigr).

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