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

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

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limit as x approaches 0 of (cos(x)) 1/x

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

diverges

Solution steps

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

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 0 + lim (cos (x) \frac{1}{x}) = \infty

x \to 0 - lim (cos (x) \frac{1}{x}) = - \infty

= diverges

x \to 0 + lim (1^{\frac{l n ( 2 )}{x}})

x \to - \frac{1}{2} lim (3 x^{2} (2 x - 1))

x \to 2 lim (\frac{x ^{2} + x}{x - 2})

x \to \infty lim ((\frac{14 x}{14 x + 6})^{2 x})

x \to 0 - lim (\frac{6}{5 x ^{3}})

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