Exercise 2.1.18 (Easy): Let {xn} be a sequence and x ∈ R. Suppose that for any...

Question

Question

Exercise 2.1.18 (Easy): Let {xn} be a sequence and x ∈ R. Suppose that for any ε > 0, there is an M such

that for all n ≥ M, |xn \ x| ≤ ε. Show that lim(xn)= x.

Answer 1

Answer #1

Let {en} be a sequence of real numbers and XER. Suppose that , teso, there is MEN such that lan-alse fnom. 5 as n-700 Tan-ul

Answer 2

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