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 Nov 8 comment Finding upper bound for sum @MarcusStuhr Hang on a second, doesn't that give $\ln \sqrt {61}$ rather than $\ln 61$? Aug 27 comment How to solve equations to the fourth power? @AlecTeal In my opinion that is unnecessarily rude. This site is for people of any mathematical ability who may not spot things as easily as you do. Aug 19 comment Cube root of complex number without trigonometric functions Please learn Mathjax before posting so we can read the formulas that you write Jul 5 comment How to calculate $\int \frac{\sin x}{\tan x+\cos x} \, dx$ I'd probably try splitting it into partial fractions Jun 28 comment Question about logarithmic eqations It doesn't have a solution in terms of elementary functions, you need to use the Lambert W function Jun 23 comment Why does $\cos(x) + \cos(y) - \cos(x + y) = 0$ look like an ellipse? Completely unrelated, but that is one of the coolest graphs I've ever seen Jun 22 comment Integrating $\frac{1}{1+e^x}$ Thanks for the answer, I can see the solution now. However I would appreciate it if you could explain why my working doesn't work. I can't see the mathematical issue with it Jun 8 comment Prove that $\sum_{n=1}^{\infty} (-1)^n\frac{n}{n+1}$ diverges Remember that even if the limit is 0 it doesn't necessarily mean the series converges. Think of $\sum_{n=1}^\infty \frac{1}{n}$ May 18 comment Integral giving wrong values $-2+ \frac 34 \ne -\frac 34$ May 13 comment Prove that the normal to a quadratic curve passes through a specific point @SufyanNaeem If you want to be pedantic, I'll change my wording May 13 comment Prove that the normal to a quadratic curve passes through a specific point Looking at that graph using a graphing calculator leads me to believe that you are correct and the question is wrong. May 13 comment Inductive proof that every term is a sequence is divisible by 16 See Henry's answer. I must use induction. May 13 comment Inductive proof that every term is a sequence is divisible by 16 Oh that's why they used 5! This makes a lot more sense now, thank you for your answer :) May 13 comment Inductive proof that every term is a sequence is divisible by 16 I have to prove it by induction, this question comes from an exercise in my maths book about induction. May 13 comment Inductive proof that every term is a sequence is divisible by 16 So does that mean the proof by induction could be completed with any number, not just 5? I thought it could only be 5 since the question specified to use that expression May 13 comment Inductive proof that every term is a sequence is divisible by 16 As far as I can tell you didn't read my question May 12 comment What exactly IS a square root? To answer the second part, calculators use the general binomial theorem which generates a converging infinite series that the calculator then uses to get the root to a given number of decimal places Apr 22 comment Irrationality of $\pi$ and circumference to diameter ratio. A better way to write that sum would be $\sum_1^{\infty} \frac {4(-1)^r }{2r-1}$ Apr 20 comment Probability of success in $n$ trials 3. It would make it easier to learn what you are doing wrong and how to improve your asking/answering technique, which would improve the overall quality of posts on the site. What do you think of our proposal? Apr 20 comment Probability of success in $n$ trials obvious whether a post is good quality or not. On this site however questions and answers can be somewhat subjective in quality, usually because there are multiple different methods to solving a problem. Therefore, we would suggest that someone who has downvoted an answer must leave a comment at the same time. This would have three advantages : 1. You can make an inquiry as to your downvote. 2. It would not be so lightly and inaccurately voted down, because everybody can see which users have voted down. [cont]