What is the limit as x approaches 0 of xcos(1/(x^3)) ?

The limit as x approaches 0 of xcos(1/(x^3)) is 0

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limit as x approaches 0 of xcos(1/(x^3))

x \to 0 lim (x cos (\frac{1}{x ^{3}}))

0

Solution steps

x \to 0 lim (x cos (\frac{1}{x ^{3}}))

Apply the Squeeze Theorem:

0

= 0

y^{^{'}} + x y = x^{3}

d er i v a t i v e (2 x - 1) e^{x}

d er i v a t i v e ln (3 x + 7)

(sin (x y) + x y cos (x y)) d x + x^{2} cos (x y) d y = 0

\int \frac{x}{3 x + 1} d x

What is the limit as x approaches 0 of xcos(1/(x^3)) ?
The limit as x approaches 0 of xcos(1/(x^3)) is 0