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Let tn denotes the n^(th) term of the in...

Let `t_n` denotes the `n^(th)` term of the infinite series `1/(1!)+10/(2!)+21/(3!)+34/(4!)+49/(5!)+.............` Then, `lim_(n->oo) t_n` is

A

e

B

0

C

`e^(2)`

D

1

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If t_(n) = (Sigman)/(n!) , then th sum of the infinite series Sigma t_(n) is equal to

    A
    e
    B
    `e^(-1)`
    C
    `(3e)/(2)`
    D
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  • If S_(n) denotes the sum of n terms of a series and S_(n) = (1)/(6) n (n + 1) (n + 2) AA n ge 1 , then lim_(n rarr oo) sum_(r = 1)^(n) (1)/(T_(r)) is

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