What is the limit as x approaches 0 of x^4cos(1/x) ?

The limit as x approaches 0 of x^4cos(1/x) is 0

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limit as x approaches 0 of x^4cos(1/x)

x \to 0 lim (x^{4} cos (\frac{1}{x}))

0

Solution steps

x \to 0 lim (x^{4} cos (\frac{1}{x}))

Apply the Squeeze Theorem:

0

= 0

(e^{- 2 t})^{^{'}}

\int \frac{- 6 x ^{4} + 6}{x ^{2} + 1} d x

\int \frac{1}{e ^{10 x}} d x

\frac{d}{d x} (3 x^{- 3})

d er i v a t i v e f (x) = \frac{4 x + 3}{4 x - 3}

What is the limit as x approaches 0 of x^4cos(1/x) ?
The limit as x approaches 0 of x^4cos(1/x) is 0