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If underset(xrarr2)"lim"(x-2)/(sqrt(x)-...

If `underset(xrarr2)"lim"(x-2)/(sqrt(x)-sqrt(2))=Ksqrt(2)` then K is equal to -

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Prove : underset(xrarroo)"lim"sqrt(x)[sqrt(x+2)-sqrt(x)]=1

Prove : underset(xrarr1)"lim"(x^(2)-sqrt(x))/(sqrt(x)-1)=3

Knowledge Check

  • underset(xrarr1)"lim"(x-1)/(sqrt(x)-1)= ?

    A
    2
    B
    1
    C
    0
    D
    3

  • underset(xrarr0)"lim"(sinx)/(sqrt(x)) is -

    A
    0
    B
    `-(1)/(2)`
    C
    1
    D
    The limit does not exist

  • underset(xrarr0)"lim"(a^(2x)-1)/(x) =

    A
    `log_(e)a`
    B
    `2log_(e)a`
    C
    `-2log_(e)a`
    D
    `-log_(e)a`

    • Similar Questions

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    underset(xrarr2)"lim"(x^(5)-32)/(x-2)= ?

    underset(xrarr4)"lim"(sqrt(x)-2)/(x-4)= ?

    underset(xrarr3)"lim"(x^(3)-27)/(x^(2)-9)= ?

    If K^(2)=underset(xrarr0)"lim"((x)/(sqrt(1+x)-sqrt(1-x))) , then the value of K will be -

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