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series
1a)
find the sum of the series from n=1 to infinity of:
1/[n(n+1)(n+2)]
b) show that if |r|<1 then the sum of the series from n=0 to infinity of r^n is equal to 1/(1-r)
2a)
Use a comparison with an integral to show the sum from n=2 to infinity of 1/(nlogn) diverges. (ignoring the fact that a logarithm hasnt been defined yet)
b)
show that sum from n=2 to infinity of 1/[n(logn)^2] converges
c)
what can be said about the sum from n=10 to infinity of 1/[nlognloglogn]?
find the sum of the series from n=1 to infinity of:
1/[n(n+1)(n+2)]
b) show that if |r|<1 then the sum of the series from n=0 to infinity of r^n is equal to 1/(1-r)
2a)
Use a comparison with an integral to show the sum from n=2 to infinity of 1/(nlogn) diverges. (ignoring the fact that a logarithm hasnt been defined yet)
b)
show that sum from n=2 to infinity of 1/[n(logn)^2] converges
c)
what can be said about the sum from n=10 to infinity of 1/[nlognloglogn]?
Please look here: /showthread.php?t=74845.
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