What is the limit as x approaches 0 of x^5*cos(1/x) ?

The limit as x approaches 0 of x^5*cos(1/x) is 0

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limit as x approaches 0 of x^5*cos(1/x)

x \to 0 lim (x^{5} \cdot cos (\frac{1}{x}))

0

Solution steps

x \to 0 lim (x^{5} cos (\frac{1}{x}))

Apply the Squeeze Theorem:

0

= 0

\int (\frac{1}{x ^{5}}) d x

\int_{1}^{3} 8^{x} - 2^{x} d x

(3, 1), (- 2, - 1)

- 7 y^{^{'}} + 21 x^{2} = 0

\frac{d}{d x} (25 e^{- 5 x})

What is the limit as x approaches 0 of x^5*cos(1/x) ?
The limit as x approaches 0 of x^5*cos(1/x) is 0