Let be defined by for and

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

Problem

Let

p

be defined by

p(x)=x\sin\!\left(\dfrac{10}{x}\right)

for

x\neq0

and

p(0)=0

. Determine

\displaystyle \lim_{x\to0}p(x)

.

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