Homework Soursedemostrate that 1n1nen converges then estimate the value of
demostrate that (-1)^(n+1)ne^-n converges. then estimate the value of the series by summing the first four terms.
how far from the true value of the series is your estimate?
how far from the true value of the series is your estimate?
Solution
converges -n+(1-i pi) n^2+1/2 (pi+i)^2 n^3+1/6 i (pi+i)^3 n^4-1/24 (pi+i)^4 n^5+1/120 (1-i pi)^5 n^6+O(n^7)
