I just tried doing [tex]\sum_{n=1}^{1998} (-1)^{n+1} \frac{n+1}{n!} [/tex] in mathematicia and it gives me some fat long long big number, But I did it manually by splitting the numerator and it seemed to give me a telescoping series which solved to 1+ 1/(1998!), so the answer should be around 1 shouldn't it...(adsbygoogle = window.adsbygoogle || []).push({});

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