Question

limit x the 0 cot 2x - cosec 2x/x

Answer 1

-2 csc^2 2x - (- 2csc 2x cot 2x) / 1

Changed into 2 csc 2x ( cot 2x - csc 2x)

Now let us change this as 2 ( cos 2x - 1) / sin^2 2x

Once again, 0/0

By rule, 2 ( -2 sin 2x) / 4 sin 2x cos 2x

Cancelling 4 sin 2x we get - 1 /cos 2x

​Now applying limit x -->0 we have -1