[tex]\sum_{n=1}^{\infty} a_n = 1 - \frac {(0.3)^2}{2!} + \frac {(0.3)^4}{4!} - \frac {(0.3)^6}{6!} + \frac {(0.3)^8}{8!} - ... [/tex](adsbygoogle = window.adsbygoogle || []).push({});

how many terms do you have to go for your approximation (your partial sum) to be within 0.0000001 from the convergent value of that series?

the answer to this question is 4, but i dont know how the book got 4. Probably a real easy question, but im really confuse since there are no examples i can find, so can someone help? i really dont even know where to start, but i found this:

[tex] |s-s_n| \leq |s_n+1 - s_n| = b_n +1[/tex]

any help will be appreciated

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# Homework Help: Alternating series

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