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

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

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

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

0

Solution steps

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

Apply L'Hopital's Rule

: x \to 0 lim (\frac{sin ( x )}{1})

= x \to 0 lim (\frac{sin ( x )}{1})

Plug in the value

x = 0

= \frac{sin ( 0 )}{1}

Simplify

\frac{sin ( 0 )}{1} : 0

= 0

\frac{d}{d x} (ln (4 sec (x)))

2 t^{2} - e^{- 1}

n = 1 \sum \infty \frac{1}{4}

f (x) = \frac{x ^{2}}{x + 2}, at x = 2

\int y^{2} e^{x y^{2}} d x

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