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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.
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Text Solution

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Clearly, the function is non-periodic as due to the change in pattern at x = 0.
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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
    f'' is periodic but f' is not periodic
    D
    none of the above
  • The period of the function sin^(4)x+cos^(4)x is -

    A
    `(pi)/(2)`
    B
    `pi`
    C
    `2pi`
    D
    `(3pi)/(2)`
  • The period of the function f(x)=cos4x+tan3x is

    A
    `pi`
    B
    `pi/2`
    C
    `pi/3`
    D
    `pi/4`
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