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lim(x-gt0)(sqrt(1+tanx)-sqrt(1-tanx))/(s...

`lim_(x-gt0)(sqrt(1+tanx)-sqrt(1-tanx))/(sinx)=`

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Evaluate the limits lim_(x to0)(sqrt(1+sinx)-sqrt(1-sinx))/(tanx)

lim_(xto0)(sqrt(1+sinx)-sqrt(1-sinx))/tanx

Knowledge Check

  • underset(x to 0)"Lt" (sqrt(1+tanx)-sqrt(1-tanx))/(sin x)=

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

  • lim_(xto0)(sinx)^(2tanx)=

    A
    2
    B
    1
    C
    0
    D
    does not exist

  • The value of lim_(xto0^(+))(-1+sqrt((tanx-sinx)+sqrt((tanx-sinx)+sqrt((tanx-sinx)+…oo))))/(-1+sqrt(x^(3)+sqrt(x^(3)+sqrt(x^(3)+…oo)))) is

    A
    `1/2`
    B
    `1/4`
    C
    `1/8`
    D
    `1`

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    lim_(x rarr 0) (sqrt(1+sinx)-sqrt(1-sinx))/x=

    The value of lim_(xto0^(+))(-1+sqrt((tanx-sinx)+sqrt((tanx-sinx)+sqrt((tanx-sinx)+…oo))))/(-1+sqrt(x^(3)+sqrt(x^(3)+sqrt(x^(3)+…oo)))) is

    Lt_(x->0 )(-1+sqrt(("tanx-sinx)+sqrt((tanx-sinx)+sqrt(..........)))oo)/(-1+sqrt(x^3+sqrt(x^3+sqrt(x^3+....)))oo

    Let f(x)=(sqrt(1+sinx)-sqrt(1-sinx))/(tanx) , x ne 0 Then lim_(x to 0) f(x) is equal to

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