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Which of the following limits tends to u...

Which of the following limits tends to unity? `(a) ("lim")_(xvec0)sin(tanx)/(sinx)` (b) `("lim")_(xvecpi/2)sin(cosx)/(cosx)` `("lim")_(xvec0)"sin"(e^x-1)/x` (d) `("lim")_(xvec0)(sqrt(1+x)-sqrt(1-x))/x`

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Knowledge Check

  • lim_(x to 0) (sqrt(1+ sin x) - sqrt(1- sinx))/x =

    A
    1
    B
    2
    C
    0
    D
    none
  • lim_(xrarr0) (sin4x)/(1-sqrt(1-x)) , is

    A
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    B
    8
    C
    10
    D
    2
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