If (c) is a constant sequence in F (F is an ordered Field), then it has a limit c. HINT: for each e > 0, let K = 0. How do I go about proving this? Any advice?
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A sequence is said to converge to c iff for any , so that . In this case we say the In your case your function is constant and is c for every n, so for all this proves your sequence converges to c by choosing K=0 in the definition.
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