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Let f(x)= 3/(x-2)+4/(x-3)+5/(x-4). Then ...

Let `f(x)= 3/(x-2)+4/(x-3)+5/(x-4)`. Then `f(x)=0` has (A) exactly one real root in (2,3) (B) exactly one reasl root in (3,4) (C) at least on real root in (2,3) (D) none of these

A

exactly one real root in (2,3)

B

exactly one real root in (3,4)

C

at least one real root in (2,3)

D

None of these

Text Solution

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The correct Answer is:
A, B
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