Statement 1: The function `f(x)=x^2+tan^(-1)x` is a non-periodic function. Statement 2: The sum of two non-periodic functions is always non-periodic.

Each question has four choices, a,b,c and d,out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. if both the statements are true and statement 2 is the correct explanation of statement 1. If both the statements are true but statement 2 is not the correct explanation of statement 1. If statement is True and statement2 is false. If statement1 is false and statement2 is true. Consider the function f(x)=sin(k x)+{x}, where (x) represents the fractional part function. Statement 1 : f(x) is periodic for k=mpi, where m is a rational number Statement 2 : The sum of two periodic functions is always periodic.

If f is a periodic function and g is a non-periodic function , then

The function f(x)=x-[x] is a periodic with period.

The function f(x)=|sin4x|+|cos2x| is a periodic function with period

Statement-1: The function f(x) given by f(x)=sin^(-1){log(x+sqrt(x^(2)+1))} is an odd function. Statement:2 The composition of two odd functions is an odd function.

Which of the following functions is non-periodic?

bb"Statement I" The function f(x) =xsinx and f'(x)=xcosx+sinx are both non-periodic. bb"Statement II" The derivative of differentiable functions (non-periodic) is non-periodic funciton.

The period of the function f(x)=tan(4x-1) is

The function f(x)=x+(1)/(x)(x!=0) is a non- increasing function in the interval