# Null sequences three part question

Determine whether each of the following sequences (An) converges or diverges. For each that converges, determine its limits
1) An=(n^2/n+1)-(n^2/n+2), n=1,2..
2) An= (n^2 +1/3n^3 - 2n^2), n=1,2..

3) An = (n^3 cos (npie)/n^2 +1, n= 1,2...

Justify your answers carefully and write the solution out you may use null sequences in theorem D7 but you shoukd state clearly which result or rules you've used
• For this question you need to provide Theorem D7.

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