RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 17. Increasing and Decreasing Functions

Subject: Maths - Class 12th

Q. No. 1 of Exercise 17.1

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Prove that the function f(x) = loge x is increasing on (0, ∞).

let x1,x2 (0,)

We have, x1<x2

loge x1 < loge x2

f(x1) < f(x2)

So, f(x) is increasing in (0,)

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