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

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

e

B

`C^(2)`

C

`e^(3)`

D

None of these

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A
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Knowledge Check

  • 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
    `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)^(cotx) is continuous at x = 0, 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

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