79 Every polynomial with real coefficients is the sum of cubes of three polynomials 45 Value of $(\alpha^2+1)(\beta^2+1)(\gamma^2+1)(\delta^2+1)$ if $z^4-2z^3+z^2+z-7=0$ for $z=\alpha$, $\beta$, $\gamma$, $\delta$ 41 Intuitive reason for why $\left(\displaystyle\sum_{i=0}^n i\right)^2 = \displaystyle\sum_{i=0}^n i^3$ 32 Does an increasing sequence of reals converge if the difference of consecutive terms approaches zero? 29 Prime number construction game

### Reputation (124,613)

 +30 I want to know radius of convergence. $\sum ^{\infty }_{n=0}\left\{ 3+\left( -1\right) ^{n}\right\} x^{n}$ +10 How many integer numbers between 0 and 9999 are there that have exactly one digit 1 and exactly one digit 3? +20 Caterpillar Graphs +10 Find the SUM of all the numbers of S.

### Questions (13)

 149 The Hole in One Pizza 24 Mysterious identity 9 Show $\int_0^t (t-x)P_n(x)\,dx\leq \frac{t^2}{2}\int_0^1 P_n(x)\,\mathrm dx$ where $P_n(x)=(x(1-x))^{n}$ 6 A property of continuous bijective maps in the plane. 5 An $\arcsin$ inequality

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 2k calculus × 777 679 combinatorics × 300 2k real-analysis × 634 530 algebra-precalculus × 169 1k sequences-and-series × 461 476 definite-integrals × 156 1k integration × 415 448 inequality × 166 1k limits × 374 433 convergence-divergence × 143

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