What is the limit as x approaches 0 of x^4*cos(2/x) ?

The limit as x approaches 0 of x^4*cos(2/x) is 0

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limit as x approaches 0 of x^4*cos(2/x)

x \to 0 lim (x^{4} \cdot cos (\frac{2}{x}))

0

Solution steps

x \to 0 lim (x^{4} cos (\frac{2}{x}))

Apply the Squeeze Theorem:

0

= 0

\int_{1}^{4} e^{2 x + 1} d x

\frac{\partial}{\partial y} (5 e^{x} cos (yz))

\int \frac{1}{x - 2 x x} d x

\int \frac{e ^{3 x}}{x ^{2}} d x

x \to 6 lim (\frac{1}{x ^{2} - 36})

What is the limit as x approaches 0 of x^4*cos(2/x) ?
The limit as x approaches 0 of x^4*cos(2/x) is 0