Top network posts

• 31 Prove that the infinite sum $\sum_{n=1}^{\infty} \frac{F_{n}}{ 10 ^ n }$ converges to a rational number
• 13 $s_n = \sum_{k=1}^{n} a_k$ and $\sum_{n=1}^{\infty} a_n = \infty$ imply $\sum_{n=1}^{\infty} \frac{a_n}{s_n^2}$ converges!
• 12 Prove that a symmetric matrix with a positive diagonal entry has at least one positive eigenvalue
• 9 Determine matrix of linear map
• 8 Converge? $\sum_{k=1}^{\infty}\frac{ \sin \left(\frac{1}{k}\right) }{k} $
• 7 Linear transformation from $\mathbb{R}^3 \to \mathbb{R}$
• 7 Calculate the determinant of this $5 \times 5$ matrix
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