What is the limit as x approaches 0 of (2-2cos(x))/x ?

The limit as x approaches 0 of (2-2cos(x))/x is 0

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limit as x approaches 0 of (2-2cos(x))/x

x \to 0 lim (\frac{2 - 2 cos ( x )}{x})

0

Solution steps

x \to 0 lim (\frac{2 - 2 cos ( x )}{x})

Apply L'Hopital's Rule

: x \to 0 lim (\frac{2 sin ( x )}{1})

= x \to 0 lim (\frac{2 sin ( x )}{1})

Plug in the value

x = 0

= \frac{2 sin ( 0 )}{1}

Simplify

\frac{2 sin ( 0 )}{1} : 0

= 0

\int_{a}^{b} x d x

y^{2} - 2 x = 9, x - y = 3 [- 4.5, 8]

\frac{d}{d x} (ln (arctan (3 x^{3})))

\frac{d}{d x} (\frac{a}{x ^{2} + a ^{2}})

What is the limit as x approaches 0 of (2-2cos(x))/x ?
The limit as x approaches 0 of (2-2cos(x))/x is 0