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If f (x) is an odd periodic function wit...

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

A

`-4`

B

4

C

2

D

0

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • If f(x) is periodic function with period, T, then

    A
    `underset(a)overset(b)int f(x)dx=underset(a)overset(b+T)intf(x)dx`
    B
    `underset(a)overset(b)int f(x)dx=underset(a+T)overset(b)intf(x)dx`
    C
    `underset(a)overset(b)int f(x)dx=underset(a+T)overset(b+T)intf(x)dx`
    D
    `underset(a)overset(b)int f(x)dx=underset(a+T)overset(b+2T)intf(x)dx`

  • If f is a periodic function then

    A
    f' and f" is also periodic
    B
    f' is periodic but f" is non -periodic
    C
    f" is periodic but f' is non -periodic
    D
    None of these

  • If f (x) is periodic function with period T, then the function f (ax+b) where a gt 0, is periodic with period

    A
    T/b
    B
    aT
    C
    bT
    D
    T/a

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