[quote=Nerd;47830]How would I go about proving these statements true or false?
"If a series is truncated after the nth term, then the error is less than the first omitted them"
False. Consider the series:
S=1 + 2 + 3 + 5 + 0 + .. + 0 + .. = 11
S(1) = 1
(where S(n) is the sum of the series truncated to the first n terms)
The first omited term is 2, but the error is 10.