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Question

Let f(x) be a continuous function and g(x) be a discontinuous function, thenf(x)+g(x) is discontinuous function.

A
True
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B
False
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Solution

The correct option is A True
If f is continuous and h is continuous then g=hf is continuous.
So if f is continuous and g is discontinuous f+g=h can not be continuous else hf=g would also be continuous.
Hence if f(x) be a continuous function and g(x) be a discontinuous function, then f(x)+g(x) is discontinuous function.

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