Question

find an upper bound on the absolute error that results if the sum of the series is approximated by the nth partial sum.

Answer 1

so theres a formula we use for error

Answer 2

error of an alternating series
En < |an| , but let me check my book

Answer 3

according to this
http://tutorial.math.lamar.edu/Classes/CalcII/EstimatingSeries.aspx
the error is
| s - sn| < bn+1,
s is the sum of the series, sn is the partial sum of the first n terms,
bn+1 is the n+1'th term of the absolute value of the expression an

Answer 4

| s - sn| just means the error, nothing fancy