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

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

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

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

diverges

Solution steps

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

Apply Limit Divergence Criterion:

diverges

= diverges

x \to - 4 lim (\frac{x + 4}{x + 4})

x \to - \infty lim (\frac{1}{2})

x \to \infty lim ((1 + \frac{b}{x})^{k x})

x \to - \infty lim (1 - \frac{1}{x})

x \to 2 lim (6 x - 3)

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