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} (sin (\frac{1}{x})))

0

Solution steps

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

Apply the Squeeze Theorem:

0

= 0

\int x^{2} 3 + 2 x - x^{2} d x

\frac{d}{d x} (4 e^{\frac{x}{2}} - 3 e^{- x})

\int_{0}^{\frac{π}{2}} x sin (8 x) d x

x \to - 0 lim (\frac{( x + 2 ) ^{2} - 4}{x})

f (x) = \frac{2}{( 3 x ^{2} + 7 ) ^{2}}

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