Caleb Jares
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 Jun22 asked When representing a base-n number in decimal ($\frac{x}{n^l}$), will there be a different set of terminating representable numbers than base-10? Jun8 comment Is it generally accepted that if you throw a dart at a number line you will NEVER hit a rational number? @QiaochuYuan what languages are better at making these distinctions? May16 awarded Yearling Dec12 accepted How many unique pairs of integers between $1$ and $100$ (inclusive) have a sum that is even? Dec12 awarded Critic Dec12 comment How many unique pairs of integers between $1$ and $100$ (inclusive) have a sum that is even? Oh why thank you very much :) Dec12 revised How many unique pairs of integers between $1$ and $100$ (inclusive) have a sum that is even? edited title Dec12 accepted Solving $y = xc^x + x + 1$, where c is a constant Dec12 revised Solving $y = xc^x + x + 1$, where c is a constant edited tags Dec12 asked How many unique pairs of integers between $1$ and $100$ (inclusive) have a sum that is even? Dec12 accepted Prove $\sum \limits_{i=1}^n i^2 \in \Theta (n^3)$ Dec11 asked Prove $\sum \limits_{i=1}^n i^2 \in \Theta (n^3)$ Dec5 accepted Evaluate $\int \sqrt{1+x^{\frac{3}{2}}} \operatorname d x$ Nov15 comment Evaluating $\sum\limits_{n=0}^{20} \frac{(-1)^{n}2^{n+1}}{3^{n}},$ Thanks! That worked. Nov15 comment Evaluating $\sum\limits_{n=0}^{20} \frac{(-1)^{n}2^{n+1}}{3^{n}},$ Yes, just the partial sum. I know it's wierd, but my professor put it on our test and I had no idea how to do it then. Now he offered test corrections because the average was below 60 and I still don't know how to do it. Nov15 revised Evaluating $\sum\limits_{n=0}^{20} \frac{(-1)^{n}2^{n+1}}{3^{n}},$ edited title Nov15 accepted Find which values of p the integral is convergent Nov15 asked Evaluating $\sum\limits_{n=0}^{20} \frac{(-1)^{n}2^{n+1}}{3^{n}},$ Nov13 asked Find which values of p the integral is convergent Nov2 accepted Sum of the series $\sum_{n=1}^\infty \frac{(-1)^n}{n2^{n+1}}$