Jason
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### Questions (52)

 12 Proving $\sum\limits_{k=1}^{n}{\frac{1}{\sqrt{k}}\ge\sqrt{n}}$ with induction 12 How to remember the trigonometric identities 8 finding the coefficient of $x^{14}$ in the expression: $\frac{5x^2-x^4}{(1-x)^3}$ 7 Explaining an algebra step in $\frac{n^2(n+1)^2}{4} + (n+1)^3 = \frac{(n+1)^2}{4}(n^2+4n+4)$ 7 Prove that if $f(x)$ is continuous in $\mathbb R$ then exists $x$ such that $f(x)f(x+1) \ge 0$

### Reputation (939)

 +5 Proof of cardinality inequality: $m_1\le m_2$, $k_1\le k_2$ implies $k_1m_1\le k_2m_2$ +5 Proving a bounded function is integrable +5 Number of One-to-One Functions +5 Proving $\sum\limits_{k=1}^{n}{\frac{1}{\sqrt{k}}\ge\sqrt{n}}$ with induction

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### Tags (22)

 0 calculus × 24 0 linear-algebra × 4 0 combinatorics × 9 0 inequality × 3 0 elementary-set-theory × 9 0 cardinals × 3 0 algebra-precalculus × 5 0 generating-functions × 3 0 limits × 4 0 probability × 2

### Accounts (12)

 Stack Overflow 1,827 rep 32556 Mathematics 939 rep 11122 Game Development 241 rep 514 Movies & TV 143 rep 3 Video Production 118 rep 3