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Find out about the property of the function

Source: MTRP 2017 Class 11-Multiple Choice Question: Problem 10 :-

May 25, 2020
differentiable functionslimitcalculusfunction

Problem Statement

Let f:R→Rf:\mathbb{R}\to \mathbb{R} be a differentiable function such that lim⁡x→∞f′(x)=1\lim \limits_{x\to \infty}f'(x)=1, then
[*] ff is increasing [*] ff is unbounded [*] f′f' is bounded [*] All of these
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