For each of (a)-(d) give a sequence (rn)1 with the stated prop- erties. In each case, the sequence (yn)1 is defined by yn = 2x" for all n e N. (a) (In) converges to some r 70, and (yn) converges to some y 0. (b) (2n) is bounded, but (yn) does not converge. (c) (In) does not converge (to any rE R), but (yn) converges to zero.

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