Question

Find K by evaluating Limit

Answer 1

4

Explanation:

`\lim_(x \to \infty)(1-cos4x)/(1-cos2x)= \lim_(x \to 0) ((1-cos4x)')/((1-cos2x)')= \lim_(x \to 0)(4sin4x)/(2sin2x)= \lim_(x \to 0)(2*2sin2xcos2x)/(sin2x)\\ = \lim_(x \to 0)4cos2x\\ =4`

{L'Hospital's rule}

I hope this helps you

:)