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

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

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

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

0

Solution steps

x \to 0 lim (x^{3} cos (\frac{π}{x}))

Apply the Squeeze Theorem:

0

= 0

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

\frac{\partial}{\partial x} (\frac{y - 2 x}{6 y - x})

y = ln (x^{4} sin^{2} (x))

y^{^{'}} = \frac{1}{x}

\int - x e^{3 x} d x

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