For the function `f(x) = e^(e^x) - tan^-1 x -3 = 0` which of the following holds good?

For the function f(x) = (e^(1/x) -1)/(e^(1//x) + 1) , x=0 , which of the following is correct .

For the function f(x)\ =\ 1n\ (1-1n\ x) which of the following do not hold good? (a)increasing in (0,1) and decreasing in (1, e) (b) decreasing in (0,1) and increasing in (1, e) (c) x=\ 1 is the critical number for f\ (x) .(d) f has two asymptotes

If tan x+tan2x+tan3x=0 then which of the following can hold good?

Acurve y=f(x) passingthroughthe point (1,(1)/(sqrt(e))) satisfies the differential equation (dy)/(dx)+xe^(-(x^(2))/(2))=0. Then which ofthe following does not hold good?

If D(Ae^(-3x)cos x+be^(-3x)sin x)w*r.t.'x' is e^(3x)cos x then which of the following hold good

A differentiable function satisfies f(x)=int_(0)^(x){f(t)cost-cos(t-x)}dt. Which is of the following hold good?

A function is defined as f(x)=lim_(x rarr oo)[cos^(2n)x, if x 1 which of the following does not hold good?