What is the limit as x approaches 0 of (5-5cos(x))/x ?

The limit as x approaches 0 of (5-5cos(x))/x is 0

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limit as x approaches 0 of (5-5cos(x))/x

x \to 0 lim (\frac{5 - 5 cos ( x )}{x})

0

Solution steps

x \to 0 lim (\frac{5 - 5 cos ( x )}{x})

Apply L'Hopital's Rule

: x \to 0 lim (\frac{5 sin ( x )}{1})

= x \to 0 lim (\frac{5 sin ( x )}{1})

Plug in the value

x = 0

= \frac{5 sin ( 0 )}{1}

Simplify

\frac{5 sin ( 0 )}{1} : 0

= 0

t \to \infty lim (t^{4})

f (x) = x^{6} (6 x^{3} + x)^{5}

f (x) = e^{3 x} \cdot ln (4 x)

\frac{\partial}{\partial x} (- y e^{x^{3}})

n = 1 \sum \infty (\frac{7}{8})^{n}

What is the limit as x approaches 0 of (5-5cos(x))/x ?
The limit as x approaches 0 of (5-5cos(x))/x is 0