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

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

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

x \to 5 lim (3 x - 3)

y ln (x) \frac{d y}{d x} = (\frac{y + 1}{x})^{2}

\frac{d}{d x} (\frac{2 x ^{2} - 5 x}{3 x + 5})

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

\frac{2}{s ( 1 + 3 s )}

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