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maxerize

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visits member for 8 months
seen May 21 at 20:33
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54 reputation
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4 Questions

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4
 Prove that the sequence $x_{n+1} = {\frac{x_n+1}{x_n+2}}, x_0 = 1$ converges to $\frac{1}{\varphi}$
4
 $\forall n \in \mathbb{N^*}$, prove that $|{\frac{\sqrt{n^2+2}}{2n} - \frac{1}{2}}| < \frac{1}{2n^2}$
1
 Vector space of polynomials with given root
0
 Solving equations of form $3^n - 1 \bmod{k} = 0$, $k$ prime

54 Reputation

+5 Vector space of polynomials with given root
+20 Prove that the sequence $x_{n+1} = {\frac{x_n+1}{x_n+2}}, x_0 = 1$ converges to $\frac{1}{\varphi}$
+20 $\forall n \in \mathbb{N^*}$, prove that $|{\frac{\sqrt{n^2+2}}{2n} - \frac{1}{2}}| < \frac{1}{2n^2}$

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linear-algebra
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