Jeel Shah
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 Apr 12 comment Functions that make a set of functions based on given conditions Hi moonshine, I was doing some functional programming and was just messing around with some pure functions (lambda functions) to do random things. I thought about the above and thought it was cool that you can make functions that can make other functions and study the result. I wanted to see which field of mathematics this related to so I can study this further. They serve no purpose (for now) other than intriguing the curiosity. Apr 11 comment Divisibilty of $1^{101} + 2^{101} + 3^{101}+ 4^{101}+\cdots+2016^{101}$ What are your thoughts? Apr 10 answered What is $\lim_{x \to \infty} \frac{\tan{x}}{\sec{x}}$ Apr 10 comment What is $\lim_{x \to \infty} \frac{\tan{x}}{\sec{x}}$ I have edited your question to include LaTeX. Please make sure it is correct. Apr 10 revised What is $\lim_{x \to \infty} \frac{\tan{x}}{\sec{x}}$ Updated the title and the body Apr 9 comment Why are there so many primes in the convergents of Pi? I love how Mathematica has a function for everything ... even convergents. Apr 9 comment Does the series converge or diverge? (Ratio Test) @Downvoter May I know how I can improve the answer? Thanks! Apr 9 revised Does the series converge or diverge? (Ratio Test) added 162 characters in body Apr 9 answered Does the series converge or diverge? (Ratio Test) Apr 8 asked Functions that make a set of functions based on given conditions Apr 8 comment Understanding Euclid's proof that the number of primes is infinite. Wow. When you explain the proof as you did in your first paragraph, it becomes crystal clear. Thanks, this always bugged me. Mar 31 revised Who found the expression $n^2 - n + 41$ for generating prime numbers? changed n2 to n^2 Mar 29 comment Finding a sum to infinity with a factorial Nice and straightforward. +1 Mar 28 comment What books should I get to self study beyond Calculus for someone about to start undergrad mathematics? The best book on Linear Algebra that I have found as an introduction but also rigorous is Introduction to Linear Algebra by Serge Lang. It is absolutely phenomenal. Also, isn't Spivak more of an Analysis book rather than a book on Calculus? Mar 26 awarded Nice Question Mar 23 revised Find the ratio of $\frac{\int_{0}^{1} \left(1-x^{50}\right)^{100} dx}{\int_{0}^{1} \left(1-x^{50}\right)^{101} dx}$ Updated the title Mar 23 comment Are there any objects which aren't sets? I don't know if this applies, someone correct me if I'm wrong, but a "category" is not a set by definition. Mar 19 awarded Popular Question Mar 16 awarded Notable Question Mar 15 answered How to use integration by parts to solve this question?