`0 < A ,B < pi/4 ,cos (A+B) =4/5, sin (A-B) =5/13 => tan 2A=`

Evaluate the following limits : Lim_( xto 0 ) (tan 2x)/x

lim_(x to 0) (x tan 2X - X tan x)/((1 - cos 2X)^(2)) equals

If y sin 45^0 cos 45^0 = tan^2 45^0 cos^2 30^0 then y =

If (xcos e c^2 30^0sec^2 45^0)/(8cos^2 45^0sin^2 60^0)=tan^2 60^0-tan^2 30^0, than x= (a) 1 (b) -1 (c) 2 (d) 0

If (xcos e c^2 30^0sec^2 45^0)/(8cos^2 45^0sin^2 60^0)=tan^2 60^0-tan^2 30^0, than x= (a)1 (b) -1 (c) 2 (d) 0

lim_(x rarr0) ((tan 2x)/5^(sin3x)-1)=0

lim_(x rarr 0) (tan 2x - x)/(3x - sin x) , is :

lim _( x to 0) (tan 2x -x)/( 3x - sin x)=