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

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

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

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

0

Solution steps

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

Apply the Squeeze Theorem:

0

= 0

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\int_{0}^{1} 2 x^{4} e^{- x} d x

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