Answer to Question #295354 in Real Analysis for Sarita bartwal

Question

Does the sequence 3+ (-1)^n converge to 2. Justify

Answer 1

The sequence $x_n=3+(-1)^n$ does not converge to 2 because its infinite subsequence $x_{2n}=3+(-1)^{2n}=3+1=4$ does not converge to 2.