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29 November, 08:02

If f ' (a) is defined, then f (x) is continuous at x =

a. True or false

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Answers (1)
  1. 29 November, 08:16
    0
    we are given

    f' (a) id defined

    we know that

    f' (a) is derivative of f (x) at x=a

    It means derivative of f (x) at x=a is defined

    and we know that

    All differentiable function is continuous

    so, if f (x) is differentiable at x=a

    then f (x) will also be continuous at x=a

    so, this is TRUE ... Answer
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