Yann

 9 Sum of Series $\frac{F_0}{6}+\frac{F_1}{6^1} +\frac{F_2}{6^2}+\frac{F_3}{6^3}+\frac{F_4}{6^4} + \ldots$ 6 Prove $1+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+\dots+\frac{1}{\sqrt{n}} > 2\:(\sqrt{n+1} − 1)$ 3 Characteristic polynomial of a matrix is monic? 2 Find a number $x$ such that $\sum_{n=1}^\infty\frac{n^x}{2^n n!} = \frac{1539}{64}e^{1/2}$ 1 Rank of a block-triagonal matrix

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### Questions (4)

 7 Existence of a power series converging non-uniformly to a continuous function 6 Finding all solutions of the Pell-type equation $x^2-5y^2 = -4$ 4 Continuity of a series of functions at zero 3 Asymptotic development of a recurrent sequence

### Tags (16)

 11 sequences-and-series × 4 2 calculus 9 summation 2 transcendental-equations 6 proof-writing 1 block-matrices 6 discrete-mathematics 0 algebraic-number-theory 4 linear-algebra × 2 0 asymptotics

### Bookmarks (4)

 1391 Visually stunning math concepts which are easy to explain 47 Picard's Little Theorem Proofs 13 A matrix satisfying $AB-BA=B$ 3 Asymptotic development of a recurrent sequence