What is the limit as x approaches 0 of (x^2)cos(8/x) ?

The limit as x approaches 0 of (x^2)cos(8/x) is 0

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limit as x approaches 0 of (x^2)cos(8/x)

x \to 0 lim ((x^{2}) cos (\frac{8}{x}))

0

Solution steps

x \to 0 lim (x^{2} cos (\frac{8}{x}))

Apply the Squeeze Theorem:

0

= 0

\frac{\partial}{\partial x} (- 10 x y sin (x y^{2}))

f (x) = (2 x - x^{3}) (3 x + 7)

\frac{d}{d x} (5 x^{2} + 1)

f (x) = x^{2} + \frac{4}{x} - 10, at x = 8

\int_{- 3}^{3} (12 - x^{2}) - (x^{2} - 6) d x

What is the limit as x approaches 0 of (x^2)cos(8/x) ?
The limit as x approaches 0 of (x^2)cos(8/x) is 0