Q25·Section B (Part B)·25 of 120Monotonicity of xlog(1+1/x)x\log(1+1/x)xlog(1+1/x)Let f(x)=xloge (1+1x)f(x)=x\log_e\!\Big(1+\frac1x\Big)f(x)=xloge(1+x1) for x∈(0,∞)x\in(0,\infty)x∈(0,∞). Which of the following statements is true? OptionsAfff is unbounded.Bfff is increasing.Climx→∞f(x)=2\displaystyle\lim_{x\to\infty}f(x)=2x→∞limf(x)=2.Dfff is decreasing.Pick an option to check your answer.Show answerShow solution Report a problem with this question← Q24All questionsQ26 →Keyboard: A–D answer · S solution · ←/→ previous/next