Sequences & series
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File is attached, it's in french but english translation is below:
1.Find a formula general for the general term for the following sequences:
Determine if they are convergent or divergent. If the sequence is convergent find its limit.
2.Let: a1=2 ��.
a.Reasoning by induction show that 0<an=<2
b.show by induction for what n the sequence is decreasing.
c.Suppose that an is convergent and find its limit
3.Suppose that the partial sum of the series�. is given by �� Find a)b)c)
4.Determine whether series coverges or not. If yes find its sum.
5.Using the integral test, find for what values of p the series is convergent.
6.Using lnx<â??x if x>0, test the series for convergance.
7.Using convergence tests (limit comparison test, ratio test, root test) test whether the series is convergent or divergent.
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Solution Summary
Sequences and series are evaluated. The expert determines whether a series converges or not.
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