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If f(x) = int(sinx-sin2x)/(x^(3))dx, whe...

If `f(x) = int(sinx-sin2x)/(x^(3))`dx, where `xne0`, then `Limit_(xto0) f^(')(x)` has the value

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Knowledge Check

  • Evaluate lim_(xto0) (2sinx-sin2x)/(x^(3))

    A
    `0`
    B
    `1`
    C
    `2`
    D
    `3`

  • If f(x)=(x^(2)-x)/(x^(2)+2x) , where xne0,-2 , then (d)/(dx)[f^(-1)(x)] (wherever it is defined) is equal to

    A
    `(-1)/((1-x)^(2))`
    B
    `(3)/((1-x)^(2))`
    C
    `(1)/((1-x)^(2))`
    D
    `(3)/((1-x)^(2))`

  • If f(x)=|{:(sinx,cosx,tanx),(x^(3),x^(2),x),(2x,1,x):}| , then lim_(xto0)(f(x))/(x^(2))=

    A
    `0`
    B
    `3`
    C
    `2`
    D
    `1`

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