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The value of the limit lim ( n to oo) ...

The value of the limit
`lim _( n to oo) [(1)/(na) + (1)/( na +1) + (1)/( na +2) +.....+ (1)/( nb) ]` is

A

`b/a`

B

`log "b/a`

C

`e ^(b\\a)`

D

None of these

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The value of the limit lim_(x to -oo) (sqrt(4x^(2) - x )+2x) is

    A
    `-oo`
    B
    `-(1)/(4)`
    C
    0
    D
    `(1)/(4)`

  • The value of lim_( n to oo) ((1)/(n) + (n)/((n+1)^2) + (n)/( (n+2)^2) + ...+ (n)/( (2n-1)^2) ) is

    A
    `1`
    B
    `1//3`
    C
    `1//2`
    D
    `3//2`

  • The value of lim _( x to oo) sum _(k =1) ^(n) ((k)/(n ^(2) +n +2k))=

    A
    `1/4`
    B
    `1/3`
    C
    `1/2`
    D
    `1`

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