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 Nov13 accepted Number of subsets of a set having r elements Nov13 asked Number of subsets of a set having r elements Jun28 awarded Commentator Jun28 comment Mathematics in the “ The Art of Computer Programming” @AndréNicolas this is also one of the reasons. Jun28 comment Mathematics in the “ The Art of Computer Programming” i am learning it for fun Jun28 revised How do I know which method of revolution to use for finding volume in Calculus? added 182 characters in body Jun28 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? Jun28 answered How do I know which method of revolution to use for finding volume in Calculus? Jun28 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. Jun28 asked Mathematics in the “ The Art of Computer Programming” Jun24 asked Difference between proof and plausible argument. Jun24 answered How to prove that a series is convergent Jun24 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 $2\sqrt{a}$ Jun24 awarded Editor Jun24 comment Calculate the limit at x=0 @Cocopuffs. How is it $\sqrt{a}$. This is my main problem. Please elaborate. Jun24 revised Calculate the limit at x=0 added a question. Jun24 asked Calculate the limit at x=0 Jun24 awarded Student Jun24 comment Calculate the limit of the given function at $x=0$ so what you suggested was just to avoid confusion due to the presence of a negatuve number, right? This means that if there was some other postive number in place of -1, then I could have used logarithm? Jun24 comment Calculate the limit of the given function at $x=0$ Thanks. Its just like $cosx$ when $x\to \infty$. It oscillates between 1 and -1. Here the Greatest integer function doesn't oscillate but still it can hold either of the two values - 1 or -1. right?