Prove that lim(xn) = 0 if and only if lim(lxnI) = O.Give an example to show that the

Chapter 3, Problem 8

(choose chapter or problem)

Prove that lim(xn) = 0 if and only if lim(lxnI) = O.Give an example to show that the convergence of (IxnI) need not imply the convergence of (xn).

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