Answer to Question #82486 in Real Analysis for Zaighum abbas

Question

Qno.2) Establish either the sequence (X=Xn ) converges or diverges where
I) Xn=n/n+1 ii) Xn= (_1^n)n/n+1 iii)Xn= n^2/n+1
B) find the limits of the sequences
I) (2+1/n)^2 ii) (-1)^n/ n+2. iii) (n)^1/2-1/(n)^1/2+1 iv)n+1/n(n)^1/2
V)a^n+1+b^n+1/a^n+b^n for 0<a<b .