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Statement I f(x) = sin x + [x] is discon...

Statement I `f(x) = sin x + [x]` is discontinuous at x = 0.
Statement II If g(x) is continuous and f(x) is discontinuous, then g(x) + f(x) will necessarily be discontinuous at x = a.

A

Statement I is correct, Statement II is also correct, Statement II is the correct explanation of Statement I

B

Statement I is correct, Statement II is also correct, Statement II is not the correct explanation of Statement I

C

Statement I is correct, Statement II is incorrect

D

Statement I is incorrect, Statement II is correct.

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • If f(x) be continuous function and g(x) be discontinuous, then

    A
    `f(x)+g(x)` must be continuous
    B
    `f(x)+g(x)` must be discontinuous
    C
    `f(x)=g(x)` for all x
    D
    Can't say

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