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Question

If f(x)=|xa|ϕ(x), where ϕ(x) is continuous function, then

A
f(a+)=ϕ(a)
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B
f(a)=ϕ(a)
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C
f(a+)=f(a)
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D
None of these
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Solution

The correct options are
A f(a+)=ϕ(a)
B f(a)=ϕ(a)
f(x)=|xa|ϕ(x)f(x)=|xa|xaϕ(x)+|xa|ϕ(x)
f(a+)=ϕ(a),f(a)=ϕ(a)

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