Question

suppose lim n tends to infinity xn =x prove that limit n tends to infinity |xn| =|x|​

Answer 1

Answer:

A sequence (xn) of real numbers converges to a limit x ∈ R, written ... Proof. Suppose that (xn ) is a sequence such that xn → x and xn → x as n → ∞. ... behavior of the infinite “tails” (xn)∞.

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