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l isum(n-gtoo)sum(r=1)^n1/(sqrt(4n^2-r^2...

`l isum_(n-gtoo)sum_(r=1)^n1/(sqrt(4n^2-r^2))`

Answer

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Lt_(ntooo)sum_(r=1)^(n)(1)/(sqrt(4n^(2)-r^(2)))=

Lt_(ntooo)sum_(r=1)^(n-1)(1)/(sqrt(n^(2)-r^(2)))=

Knowledge Check

  • The value of lim_(n to oo)sum_(r=1)^(n)(1)/(n) sqrt(((n+r)/(n-r))) is :

    A
    `(pi)/(2)-2`
    B
    `(pi)/(2)+2`
    C
    `(pi)/(2)-1`
    D
    `(pi)/(2)+1`

  • lim_(n rarr oo) sum_(r=0)^(n-1) 1/(sqrt(n^(2)-r^(2))) =

    A
    `pi/4`
    B
    `pi/3`
    C
    `pi/2`
    D
    `pi`

    • Similar Questions

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    Lt_(n rarr oo) sum_(r=1)^(n)[(1)/(sqrt(4n^(2) - r^(2)))]

    The value of lim_(n to oo)sum_(r=1)^(n)(1)/(n) sqrt(((n+r)/(n-r))) is :

    Find Lt(n rarr oo) sum_(r=0)^(n-1)(1)/(sqrt(n^(2) - r^(2))

    Evaluate S=sum_(r=0)^(n-1)(1)/(sqrt(4n^(2)-r^(2)))as n rarrinfty .

    Evaluate S=sum_(r=0)^(n-1)(1)/(sqrt(4n^(2)-r^(2)))as n rarrinfty .

    Write the definite integral which is equal to lim_(n to infty) 1/n sum_(r=1)^n r/sqrt(n^2+r^2)

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