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The values of lim(x rarr 0) (1)/(x^(3)) ...

The values of `lim_(x rarr 0) (1)/(x^(3)) int_(0)^(x) (t In (1 + t))/(t^(4) + 4)dt` is :

A

0

B

`(1)/(12)`

C

`(1)/(24)`

D

`(1)/(64)`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The value of lim_(x rarr 0) ((e^(x)-1)/x)

    A
    0
    B
    1
    C
    `in`
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    (1/2)

  • The value of lim_(x rarr 0) 1/x^(3) int_0^(1) (tlog(1+t))/(t^(4)+4) is

    A
    0
    B
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    C
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    D
    23377

  • lim_(x rarr 0) (1-ax)^(1/x) =

    A
    `e^(-a)`
    B
    e
    C
    `e^(a)`
    D
    1

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