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Question about the Mathematical Real Analysis Proof Show that if xn → 0 then √xn →...

Question about the Mathematical Real Analysis Proof

Show that if xn → 0 then √xn → 0.

Proof. Let ε > 0 be arbitrary. Since xn → 0 there is some N ∈N such that |xn| < ε^2 for all n > N. Then for all n > N we have that |√xn| < ε

My question is based on the sequence convergence definition it should be absolute an-a<ε    but here why we can take xn<ε^2 rather than ε?

Please explain and draw the number line to explain ε.

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