What is the limit as x approaches 0 of x^3cos(1/x) ?

The limit as x approaches 0 of x^3cos(1/x) is 0

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limit as x approaches 0 of x^3cos(1/x)

x \to 0 lim (x^{3} cos (\frac{1}{x}))

0

Solution steps

x \to 0 lim (x^{3} cos (\frac{1}{x}))

Apply the Squeeze Theorem:

0

= 0

t an g e n t - 5 x^{\frac{1}{2}} + x^{\frac{3}{2}}

d er i v a t i v e f (x) = xx

d er i v a t i v e f (x) = x - 1

\frac{\partial}{\partial x} (sin (\frac{2 y}{x}))

\frac{d y}{d x} = (x + y)^{2}

What is the limit as x approaches 0 of x^3cos(1/x) ?
The limit as x approaches 0 of x^3cos(1/x) is 0