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(Solved): 15. The Following Statements Are False. For Each Statement Please Provide A Counterexample: (a) If L ...

15. The following statements are false. For each statement please provide a counterexample: (a) If lim a, = 0, then a, conver

15. The following statements are false. For each statement please provide a counterexample: (a) If lim a, = 0, then a, converges. TIX (b) Let f be a continuous function and define a sequence on = f(n). If lim on exists and is equal to a finite real number 1, then lim f(x) = L.

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