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

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

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

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

\infty

Solution steps

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

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}{1 - cos ( x )}) = \infty

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

= \infty

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e^{- 5 t}

\frac{d y}{d x} = 10 x

\int \frac{1}{csc ^{4} ( 3 t ) sec ^{2} ( 3 t )} d t

\frac{\partial}{\partial y} (x^{3} - 12 x y + 8 y^{3})

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