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 )})

For

x

approaching

0

from the right

, x > 0 \Rightarrow 1 - cos (x) > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

x \to 4 lim (\frac{x - 5}{( x - 4 ) ^{2}})

x y^{^{'}} + 2 y = - 4 sin (x)

2 x^{2} + x y + 2 y^{2} = 5, (1, 1)

\int x (x^{2} + 4)^{2} d x

\int \frac{sec ^{4} ( t )}{tan ^{2} ( t )} d t

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