Converging and Diverging Sequences
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For Xsubn given by formulas establish either the convergence or the divergence of the sequence X=Xsubn
Xsubn= n/(n+1)
Xsubn= 2n^2+3/(n^2+1)
find the limits of the following sequences:
lim((2+ 1/n)^2))
lim((-1)^n/(n+2))
lim((n^1/2)-1)/((n^1/2)+1))
lim((n+1)/(n(n^1/2)))
establish the convergence and find the limits of the following sequences:
((1+1/n)^2n))
((1+ (1/(n+1)))
((1-1/n)^n))
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Solution Summary
This provides examples of determining convergence or divergence and finding limits.
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