What is the limit as x approaches 0 of x^2*sin(1/x) ?

The limit as x approaches 0 of x^2*sin(1/x) is 0

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limit as x approaches 0 of x^2*sin(1/x)

x \to 0 lim (x^{2} \cdot sin (\frac{1}{x}))

0

Solution steps

x \to 0 lim (x^{2} sin (\frac{1}{x}))

Apply the Squeeze Theorem:

0

= 0

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f (x) = \frac{1}{x - 1}

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What is the limit as x approaches 0 of x^2*sin(1/x) ?
The limit as x approaches 0 of x^2*sin(1/x) is 0