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The value of lim(xto0)(e^(x)-e^(x cosx))...

The value of `lim_(xto0)(e^(x)-e^(x cosx))/(x+sinx)` is

A

0

B

1

C

-1

D

None of these

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The correct Answer is:
A
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Knowledge Check

  • The value of lim_(x to 0) (e^x-e^sinx)/(2(x-sinx)) , is

    A
    `-(1)/(2)`
    B
    `(1)/(2)`
    C
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    D
    `(3)/(2)`

  • The value of lim_(xto0)(x cosx-log(1+x))/(x^(2)) is

    A
    `1`
    B
    `1/4`
    C
    `1/2`
    D
    None of these

  • The value of lim_(xto0) (1-(cosx)sqrt(cos2x))/(x^(2)) is

    A
    `(1)/(3)`
    B
    `(1)/(2)`
    C
    `(1)/(6)`
    D
    `(5)/(12)`

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