What is the limit as x approaches 0+of sqrt(x)e^{sin(pi/x)} ?

The limit as x approaches 0+of sqrt(x)e^{sin(pi/x)} is 0

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limit as x approaches 0+of sqrt(x)e^{sin(pi/x)}

x \to 0 + lim (x e^{s i n (\frac{π}{x})})

0

Solution steps

x \to 0 + lim (x e^{s i n (\frac{π}{x})})

Apply the Squeeze Theorem:

0

= 0

\frac{d}{d x} ((\frac{10 + x}{π})^{\frac{1}{3}})

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

\frac{\partial}{\partial x} (z \cdot arctan (\frac{y}{x}))

\int_{2}^{\infty} \frac{8 cos ( \frac{π}{x} )}{x ^{2}} d x

h \to + 0 lim (\frac{\frac{1}{a + h} - \frac{1}{a}}{h})

What is the limit as x approaches 0+of sqrt(x)e^{sin(pi/x)} ?
The limit as x approaches 0+of sqrt(x)e^{sin(pi/x)} is 0