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

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

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

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

0

Solution steps

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

Apply the Squeeze Theorem:

0

= 0

\int \frac{1}{5 x + 7} d x

\int_{0}^{1} sin^{2} (2 π x) d x

\frac{d}{d x} (- \frac{1}{( 1 + x ) ^{2}})

\frac{\partial}{\partial x} (2 x y)

f (x) = (9 - 6 x^{2})^{2}

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