What is the limit as x approaches 0 of xsin(pi/x) ?

The limit as x approaches 0 of xsin(pi/x) is 0

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limit as x approaches 0 of xsin(pi/x)

x \to 0 lim (x sin (\frac{π}{x}))

0

Solution steps

x \to 0 lim (x sin (\frac{π}{x}))

Apply the Squeeze Theorem:

0

= 0

y = 5 x - x^{2}, y = 2 x, (3, 6)

\frac{\partial}{\partial x} (4 y - 3 x^{2})

f (x) = x^{3} - 3 x + 2 at (2.4)

x = y, x = \frac{y}{2}

x \to \infty lim (2 x^{2} - 3)

What is the limit as x approaches 0 of xsin(pi/x) ?
The limit as x approaches 0 of xsin(pi/x) is 0