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If f(9)=9 and f'(9)=4 then lim(x to 9)(s...

If f(9)=9 and f'(9)=4 then `lim_(x to 9)(sqrt(f(x))-3)/(sqrt(x)-3)` is equal to -

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If f(9)=9,f'(9)=4 , then evaluate lim_(xto9)(sqrtf(x)-3)/(sqrtx-3) .

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Knowledge Check

  • If f(1) = 1, f'(1) = 2 then lim_(x to 1 ) (sqrt(f(x))-1)/(sqrt(x)-1) is equal to -

    A
    2
    B
    4
    C
    1
    D
    `(1)/(2)`

  • If f(x) be a function such that f (9) =9 and f '(9)=3, then the value of lim _(xto9) (sqrt(f (x))-3)/(sqrtx-3) is equal to-

    A
    9
    B
    1
    C
    6
    D
    3

  • The value of lim _(xto0) (27^(x)-9^(x)-3^(x)+1)/(sqrt5 -sqrt(4+cos x)) is equal to-

    A
    `sqrt5 (log _(2)3) ^(2)`
    B
    `8sqrt5 (log _(e)3) ^(2)`
    C
    `8sqrt5log _(e) 3`
    D
    `16sqrt5 (log _(e)3) ^(2)`

    • Similar Questions

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