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 Dec 12 asked Combinatorics with repetitons Nov 20 awarded Supporter Nov 13 awarded Scholar Nov 13 accepted Number of subsets of a set having r elements Nov 13 asked Number of subsets of a set having r elements Jun 28 awarded Commentator Jun 28 comment Mathematics in the “ The Art of Computer Programming” @AndréNicolas this is also one of the reasons. Jun 28 comment Mathematics in the “ The Art of Computer Programming” i am learning it for fun Jun 28 revised How do I know which method of revolution to use for finding volume in Calculus? added 182 characters in body Jun 28 comment Mathematics in the “ The Art of Computer Programming” So, I can study it just for the sake of maths and the analysis of algorithms and completely forget about the implementation of algorithms on computer? Jun 28 answered How do I know which method of revolution to use for finding volume in Calculus? Jun 28 comment Mathematics in the “ The Art of Computer Programming” I am not trying to learn mathematics from this book. I have learnt the required topics from Concrete Mathematics. I am just studying the TAOCP to get anexperience of the real-life applications of the math that I've studied. By "right", I meant studying only the analysis of algorithms given in the book and not implementing them on the computer. Jun 28 asked Mathematics in the “ The Art of Computer Programming” Jun 24 asked Difference between proof and plausible argument. Jun 24 answered How to prove that a series is convergent Jun 24 comment Calculate the limit at x=0 This is my approach:- We have \begin{align} f(x) & = \dfrac{\sqrt{a^2-ax+x^2}-\sqrt{a^2+ax+x^2}}{\sqrt{a-x} - \sqrt{a+x}}\end{align} \begin{align} lim_{x\to0}f(x) & = lim_{h\to0}\dfrac{\sqrt{a^2-ah+h^2}-\sqrt{a^2+ah+h^2}}{\sqrt{a-h} - \sqrt{a+h}}\end{align} \begin{align}& = \dfrac{\sqrt{a^2-0+0}-\sqrt{a^2+0+0}}{\sqrt{a-0} - \sqrt{a+0}}\end{align} \begin{align}& = \dfrac{\sqrt{a^2}-\sqrt{a^2}}{\sqrt{a} - \sqrt{a}}\end{align} . Here I carried out the usual algebraic manipulations and got $2\sqrt{a}$ Jun 24 awarded Editor Jun 24 comment Calculate the limit at x=0 @Cocopuffs. How is it $\sqrt{a}$. This is my main problem. Please elaborate. Jun 24 revised Calculate the limit at x=0 added a question. Jun 24 asked Calculate the limit at x=0