If the graph of the function `f(x)=(a^x-1)/(x^n(a^x+1))` is symmetrical about the y-axis ,then n equals (a)2 (b) `2/3` (c) `1/4` (d) `1/3`

If the graph of the function f(x)=(a^x-1)/(x^n(a^x+1)) is symmetrical about the y-a xi s ,t h e nn equals 2 (b) 2/3 (c) 1/4 (d) 1/3

If the graph of the function y = f(x) is symmetrical about the line x = 2, then

The function f(x)=2log(x-2)-x^2+4x+1 increases on the interval (a) (1,\ 2) (b) (2,\ 3) (c) (1,\ 3) (d) (2,\ 4)

If the graph of y=f(x) is symmetrical about the lines x=1a n dx=2, then which of the following is true? (a) f(x+1)=f(x) (b) f(x+3)=f(x) (c) f(x+2)=f(x) (d) None of these

Consider the graph of the function f(x)=e^(I n((x+3)/(x+1))) . Then which of the following is incorrect? (a)domain of f is (-oo,-3)uu(-1,oo) (b) f(x) has no zeroes (c)graph lies completely above the x-axis (d)range of the function is (1,oo)

Let f(x)=(x^2-1)^n(x^2+x+1) then f(x) has local extremum at x=1 when (a) n=2 (b) n=3 (c) n=4 (d) n=6

If f(x) is a real-valued function defined as f(x)=In (1-sinx), then the graph of f(x) is (A) symmetric about the line x =pi (B) symmetric about the y-axis (C) symmetric and the line x=(pi)/(2) (D) symmetric about the origin

Let f be a differential function such that f(x)=f(2-x) and g(x)=f(1 +x) then (1) g(x) is an odd function (2) g(x) is an even function (3) graph of f(x) is symmetrical about the line x= 1 (4) f'(1)=0

Let f be a differential function such that f(x)=f(2-x) and g(x)=f(1 +x) then (1) g(x) is an odd function (2) g(x) is an even function (3) graph of f(x) is symmetrical about the line x= 1 (4) f'(1)=0

f(x)=(1n(x^2+e^x))/(1n(x^4+e^(2x)))dotT h e n lim_(x->oo)f(x) is equal to (a) 1 (b) 1/2 (c) 2 (d) none of these