Let `g(x)={(x^2+xtanx-xtan2x)/(a x+tanx-tan3x),x!=0 0,x=0` If `g^(prime)(0)` exists and is equal to nonzero value `b ,` then `52 b/a` is equal to _____

Let g(x) = {{:((x^2 + x "tan" x - x "tan" 2x)/(ax + tan x - tan 3x"),x != 0),(0,x = 0):} . If g'(0) exists and is equal to nonzero value b, then 52 b/a is equal to ………

If lim xto0(x^(-3)sin3x+a x^(-2)+b) exists and is equal to 0, then

If lim_(x->0) (x^(-3)sin3x+ax^(-2)+b) exists and is equal to 0 then

Solve tanx+tan2x+tan3x=tanxtan2xtan3x ,x in [0,pi]

Solve tanx+tan2x+tan3x=tanxtan2xtan3x ,x in [0,pi]

Solve tanx+tan2x+tan3x=tanxtan2xtan3x ,x in [0,pi]

Show that, tan3xtan2xtanx=tan3x-tan2x-tanx .

If lim_(x rarr0)(x^(-3)sin3x+ax^(-2)+b) exists and is equal to 0 then

If lim_(x to 0) (2a sin x-sin2x)/(tan^(3)x) exists and is equal to 1, then the value of a is