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

y^{^{''}} + 4 y = 4 sin (2 x)

y = x^{2} + 3, (1, 4)

\frac{d}{d x} (\frac{x ^{p (x)}}{x ^{m} - a ^{m}})

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

\frac{d}{d x} (\frac{1 + csc ( x ^{7} )}{1 - cot ( x ^{7} )})

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