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Q33Section B (Section B)33 of 60

Decay of a positive function at infinity

Suppose f:(0,∞)→(0,∞)f:(0,\infty)\to(0,\infty) is continuously differentiable. Assume further that lim⁡x→∞f(x)=0\lim_{x\to\infty}f(x)=0. Which of the following statements is/are necessarily true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Options

Select every correct option, then submit.