# Thread: Determine the smallest positive integer n

1. ## Determine the smallest positive integer n

Determine the smallest positive integer n such that the remainder satisfies the inequality $R_n<0.005$.

1. $\sum_{i=1}^{\infty} \frac {1}{n^3+1}$

2. $\sum_{i=1}^{\infty} \frac {cos^4{n}}{n^4}$

2. ## Determine the smallest positive integer n

I'm not sure but take a look,