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Check weather the following function/fun...

Check weather the following function/functions is/are periodic or not? Find the period in case the function is periodic.

Text Solution

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(a) Periodic. Period = 3
(b) Non - periodic as change in pattern at x = 0
(c) Peridic. Period = ` 2 pi`
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Knowledge Check

  • If f is a periodic function, then

    A
    f' and f'' are also periodic
    B
    f' is periodic but f'' is not periodic
    C
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    D
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  • The period of the function f(x) = sin 2x is-

    A
    `2pi`
    B
    `pi`
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    `pi/2`
    D
    `3pi`

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

    A
    `pi`
    B
    `2pi`
    C
    `pi/2`
    D
    `pi/4`

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