Odd-Even and Periodic

Definition, even odd function, Periodic function

Odd & Even Function

Let h(x)=(x)/(5^(x)-1)+(x)/(2)+5 then h(x) is (1) Even Function (2) Odd Fucntion (3) Neither even nor odd (4) Periodic Function

The function f(x)=sin(log(x+sqrt(1+x^(2)))) is (a) even function (b) odd function (c) neither even nor odd (d) periodic function

In an……………………Organ pipe, both odd and even harmonics are present.

If f(x) is an odd periodic function with period 2, then f(4) equals to-

If f(x) is an odd periodic function with period 2 ,then f(4)=

Given f an odd function periodic with period 2 continuous AA x in R and g(x)=int_0^x f(t)dt then (i) g(x) is an odd function (ii) g(x+2)=1 (iii) g(2)=0 (iv) g(x) is an even function