The Period of f(x) is P then the period of f(ax+b)(P is least +ve value ) is

bb"Statement I" The period of f(x)=2cos""1/3(x-pi)+4sin""1/3(x-pi) " is " 3pi . bb"Statement II" If T is the period of f(x), then the period of f(ax+b) is T/abs(a) .

Let f(x) be a differentiable function for all x in R The derivative of f(x) is an even function If the period of f(2x) is 1 then the value of f(2)+f(4)-f(6)-f(8) is.

The period of f(x)=sqrt(x-[x])

The period of f(x)=cosx+{x} , is

If f(x)={2x}+|{x}|+{|x|} then period of f(x) is

The period of f (x) =x - [x], if it is periodic is

The period of f(x)=1+2x-[2x], if it is periodic,is

if f(x) is an odd periodic function defined on interval [-T/2,T/2], where T is the time period of f(x). Then time period of phi(x)=int_(a)^(x)f(x)dx is

A function f is said to be periodic if it repeats its nature after certain interval and that interval is called period of the function. If T be the period of f(x), then f(x + T) = f(x). For example f(x) = tan x is periodic with period pi . Then find the period of f(x) that satisfies the following condition. (i) f(x + 1) - f(x + 3) = 0 (ii) f(x + 3) + f(x) = 0 (iii) f(x-1) + f(x+3) = f(x+1) + f(x + 5) (iv) f(x + p) = 1+{(1-f(x-p))^(2n+1)}^((1)/(2n+1)), n in N

Period of f(x)=sin((cos x)+x) is