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

1.

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

Answer»

Suppose x₁, x₂ ∈ (0, ∞)

We have, x₁< x₂

⇒ log_e x₁ < log_e x₂

⇒ f (x₁) < f (x₂)

Hence, f(x) is increasing in (0, ∞)

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