ratchet freak
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 Feb 25 comment What makes a limit 'go away'? $$\lim_{x\to ∞} f(x)+g(x) = \lim_{x\to ∞} f(x)+\lim_{x\to ∞}g(x)$$ when both limits exist. and $\lim_{x\to ∞} c = c$ so you can extract the $\frac{11}{7}$ from the limit and keep $\frac{e^x}{7}$ inside it. Feb 6 comment Is it faster to count to the infinite going one by one or two by two? it doesn't matter how far you count, you are always just as far from infinity than when you started. Jan 15 revised How to fast convert from Octal to Hexadecimal edited body Jan 15 revised How to fast convert from Octal to Hexadecimal added 103 characters in body Jan 15 revised How to fast convert from Octal to Hexadecimal added 103 characters in body Jan 15 answered How to fast convert from Octal to Hexadecimal Dec 13 comment Expand in factor when even and odd power is given for $n=2$ there is no factorization unless you go with imaginary numbers $(A+Bi)(A-Bi)$ Dec 10 answered $1/i=i$. I must be wrong but why? Dec 6 answered Prove by induction that $5^n - 1$ is divisible by $4$. Dec 6 comment Prove by induction that $5^n - 1$ is divisible by $4$. @user17762 $25 * 5 = 25 \mod 100$ Dec 2 revised What is the purpose of the first test in an inductive proof? mathjax fixin Dec 2 suggested approved edit on What is the purpose of the first test in an inductive proof? Nov 18 comment if matrix such $AA^T=A^2$ then $A$ is symmetric? $AA^T=AA \Rightarrow A^{-1}AA^T=A^{-1}AA\Rightarrow A^T=A$ Nov 11 answered Measuring water puzzle Nov 9 awarded Student Nov 9 revised How stable is my quaternion interpolation? added 6 characters in body Nov 8 asked How stable is my quaternion interpolation? Nov 6 comment How can I determine that a relation lacks a property without using a counterexample? you can try to find a contradiction with the assumption that the property holds for all, this proof by contradiction will also allow you to construct a counterexample Oct 31 answered Exponential equation in x,y,z Oct 26 comment What is the simplest proof of the pythagorean theorem you know? @KeshavSrinivasan moreover it's easy to create a contraption like that in real life that proves $a^2+b^2$ is greater or less than $c^2$ by adjusting the depth