Q1 of 105 Page 17

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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