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Let f(x) = x+ log(e)x-xlog(e)x,x in (0,o...

Let `f(x) = x+ log_(e)x-xlog_(e)x,x in (0,oo)`
List I contains information about zero of f(X) ,f'(x) and f''(x)
List II contains information about the limiting behaviour of f(x), f(x) and f''(x) at infinty
List III contains information about increasing /decreasing nature of f(x) and f'(x)

which o fhte following options is the only CORRECT comibination?

A

(II) (iii)(P)

B

(II)(iv)(Q)

C

(I)(iii)(P)

D

(III)(i)(R )

Text Solution

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The correct Answer is:
4
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