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

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

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

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

0

Solution steps

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

Apply the Squeeze Theorem:

0

= 0

\int csc^{3} (x) d x

\int \frac{3 e ^{3 x}}{7 + e ^{3 x}} d x

\frac{d}{d x} (x^{3} - x^{2} - 6 x + 2)

\frac{d}{d x} (2 + 3 (x - 1) + 3 (x - 1)^{2} + d (x - 1)^{3})

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