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

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

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

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

- \infty

Solution steps

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

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

then

x \to a lim f (x) = L

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

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

= - \infty

\frac{d}{d x} (3 x^{4})

\int \frac{8 t - 5}{t + 1} d t

\int 24 x^{3} d x

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

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