Series Proof help!

1. Apr 3, 2012

emc92

(1) Show that |ln 2 - ƩNn=1 ((-1)n-1)(1/n)| ≤ 1/(N+1)
(2) Show that |sin x - ƩNn=0 ((-1)n)/(2n+1)!| ≤ |x|2N+2/(2N+2)!

I really don't know where to start. should I change the sums to series first then work my way through? Please help!

2. Apr 3, 2012

Dick

Those are alternating series. The error bound is just the next element of the series.

3. Apr 3, 2012

emc92

ohhhhh wow now i see. thanks so much!