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lim(nrarroo)((1)/(sqrt(n^(2)))+(1)/(sqrt...

`lim_(nrarroo)((1)/(sqrt(n^(2)))+(1)/(sqrt(n^(2)-1^(2)))+(1)/(sqrt(n^(2)-2^(2)))+....+(1)/(sqrt(n^(2)-(n-1)^(2))))` is equal to

A

`(pi)/(2)`

B

`sin^(-1)1`

C

`cos^(-1)(0)`

D

`2tan^(-1)1`

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Knowledge Check

  • lim_(nto oo)1/n+(1)/(sqrt(n^(2)+n))+(1)/(sqrt(n^(2)+2n))+...(1)/(sqrt(n^(2)+(n-1)n)) is equal to

    A
    `2+2sqrt(2)`
    B
    `2sqrt(2)-2`
    C
    `2sqrt(2)`
    D
    2

  • lim_(n rarr oo) [(1)/(sqrt""(n^(2)-1)) + (1)/(sqrt""(n^(2) + 2^(2)))+ ….+ (1)/([n^(2)- (n-1)^(2)])] = ….

    A
    0
    B
    `(pi)/(2)`
    C
    `pi`
    D
    none

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