(Xn) be a sequence of real numbers defined recursively by 1 = 1 and 1 7. Let X = In+1 =5(Tn +3) for n > 1. Prove that X (Xn) converges and then find its limit %3D

Advanced Engineering Mathematics
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Real Analysis 1- SOLVE SHOWING DETAILED STEPS

%3D
7. Let X = (xn) be a sequence of real numbers defined recursively by 1 = 1 and
1
(In + 3) forn2 1. Prove that X = (xn) converges and then find its limit
%3D
Xn+1
I.
Transcribed Image Text:%3D 7. Let X = (xn) be a sequence of real numbers defined recursively by 1 = 1 and 1 (In + 3) forn2 1. Prove that X = (xn) converges and then find its limit %3D Xn+1 I.
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