Let f(x) = r sin(1/x) be a real-valued function. Notice that one has -z< f(x)< |r| for %3D all z E R. Note: This question test various elementary concepts. O A lim, 0 f(2) = 1 %3D O B. lim, »0 f(z) does not exist O C. If a, is a Cauchy sequence in R, then it is bounded = 0. O D. If m ER satisfies 0 0, thenm= sin(z) O E. lim, 00 does not exist as sin(r) oscillates indefinitely.

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