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?

Printable View

- Apr 20th 2009, 10:40 PMjzelltLimit of Constant Sequence
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? - Apr 21st 2009, 12:34 AMGammaDefinition
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.