Given that the series the summation from n=1 to infinity of [(-1)^(n+1)/√n is convergent, find a value of n for which the nth partial sum is guaranteed to approximate the sum of the series to two decimal places.
a) 39,999
b) 3,999
c) 399
d) 39
3 answers
well, the terms alternate + and - so if we find an n where the n th term magnitude - the n-1 th term magnitude difference is less than .015 we are there
I am sorry but I don't get it. Please help me more with this one. Thanks
check the Remainder Theorem for alternating series