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## Homework Statement

limit x to phi/2 of:

(2 + cos 2x - sin x) / (x. cos x + x. sin 2x)

## Homework Equations

limit and trigonometry

## The Attempt at a Solution

Using differentiation, I got zero as the answer. But I am not able to do without differentiation

(2 + cos 2x - sin x) / (x. cos x + x. sin 2x)

= (2 + 1 - 2 sin

^{2}x - sin x) / ( x cos x + 2x sin x cos x)

= (-2 sin

^{2}x - sin x + 3) / [x cos x (1 + 2 sin x)]

= [(-2 sin x - 3) ( sin x - 1)] / [x cos x (1 + 2 sin x)]

Stuck there....

Thanks