I found the first 7 terms to be .78343057
Since I want to 7 places I added the value when n=8 (5.96x10^-8) to my initial value
So I claim that the sum of the series should be .7834305
My teacher told me this is wrong but could not explain why. His value was .783431
Where is my mistake?
Listing from phone so hard to type out step by step at the moment.