What is the limit as w approaches 0 of (1-cos(5w))/w ?

The limit as w approaches 0 of (1-cos(5w))/w is 0

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limit as w approaches 0 of (1-cos(5w))/w

w \to 0 lim (\frac{1 - cos ( 5 w )}{w})

0

Solution steps

w \to 0 lim (\frac{1 - cos ( 5 w )}{w})

Apply L'Hopital's Rule

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

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

Plug in the value

w = 0

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

Simplify

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

= 0

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n = 1 \sum \infty arctan (15 n)

f (x) = 6 x^{2} + 6, at x = - 2

What is the limit as w approaches 0 of (1-cos(5w))/w ?
The limit as w approaches 0 of (1-cos(5w))/w is 0