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In order that the function f(x) = (x+1)^...

In order that the function `f(x) = (x+1)^(cot x)` is continuous at x=0 , the value of f(0) must be defined as :

A

`1/e`

B

`1/e^(2)`

C

e

D

`1/e^(2)`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • In order that the function f(x)=(x+1)^(cotx) is continuous at x = 0, the value of f(0) must be defined as

    A
    `f(0)=(1)/(e )`
    B
    `f(0)=0`
    C
    `f(0)=e`
    D
    None of these

  • In order that the function f(x) = (x+1)^(cot x) is continuous at x=0, f(0) must be defined as

    A
    f(0)=0
    B
    f(0)=e
    C
    f(0)=1/e
    D
    none of these

  • In order that the function f(x) = (x+1)^(1//x) is continuous at x = 0, f (0)must be defined as

    A
    f(0) =0
    B
    f(0) =e
    C
    f(0) =1/e
    D
    f(0) =1

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