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UPSC NDA I 2024 Mathematics Paper

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Consider the following for the next two (02) items that follow :

Let

f(x)=\frac{x}{\ln x}\;(x>1)

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Question : 83 of 120

Marks: +1, -0

Consider the following statements :

f(x)

is increasing in the interval

(e, \infty)

f(x)

is decreasing in the interval

(1, e)

9 \ln 7 > 7 \ln 9

Which of the statements given above are correct?

1 and 2 only
2 and 3 only
1 and 3 only
1,2 and 3

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