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Test for continuity of the following fun...

Test for continuity of the following function at `x = a`: f(x)={(x-, a) `sin(1/(x-a)`, where `x!=a` (x- a) 0 ,when `x = a`

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The correct Answer is:
Continuous
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Knowledge Check

  • If f(x) is continuous at x=a , where f(x)=(x-a)sin((1)/(x-a)) , for x!=a , then f(a)=

    A
    1
    B
    -1
    C
    0
    D
    `oo`

  • If f(x) is continuous at x=a , where f(x)=(x-a)sin((1)/(x-a)) , for x!=a , then f(a)=

    A
    1
    B
    -1
    C
    0
    D
    `oo`

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