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 7 lim (x - 2)

x \to 0 lim (f (a x))

x \to 0 lim (2 - 8 x + 5 x^{2})

x \to 0 - lim (\frac{e ^{x}}{e ^{x} - 1})

x \to 0 lim (3^{x} - 1)

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