What is the limit as x approaches 0 of x*sin(1/x) ?

The limit as x approaches 0 of x*sin(1/x) is 0

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limit as x approaches 0 of x*sin(1/x)

x \to 0 lim (x \cdot sin (\frac{1}{x}))

0

Solution steps

x \to 0 lim (x sin (\frac{1}{x}))

Apply the Squeeze Theorem:

0

= 0

\frac{\partial}{\partial x} (ln (x) - 4)

\frac{d}{d x} (y^{5} sin (5 x))

\frac{\partial}{\partial x} (4 sin (4 x) e^{3 x})

n = 1 \sum \infty \frac{5}{4 ^{n - 1}}

\frac{\partial}{\partial y} (e^{x^{2} + y^{2}})

What is the limit as x approaches 0 of x*sin(1/x) ?
The limit as x approaches 0 of x*sin(1/x) is 0