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 Jan30 answered Probability of winning a game in tennis? Jan30 asked Probability of winning a game in tennis? Dec22 awarded Constituent Dec9 awarded Caucus Nov21 answered Replacement Cipher Nov9 comment 1/∞ is 0 or infinitesimal? 1/x as x approaches infinity is slightly different to saying what is 1/infinity. The limit is indeed 0, but the fraction 1/inf doesn't really make sense mathematically, but I guess I would describe it as infinitesimally small if I had to. Sep16 awarded Great Answer Jul2 awarded Curious May23 comment Algebra: What allows us to do the same thing to both sides of an equation? Isn't it obvious? If quantity A is the same as quantity B, then if you do something to A, it is no longer the same as B, unless of course you do the same thing to B as well. For example if A = 5, and B = 5, then A + 1 = 6, and B+1 = 6. So if A = B, then A+1 = B+1 May22 comment Easiest way to prove integral of $e^{ikx}$ is $\delta(k)$ @markleeds, unfortunately that answer makes use of the fourier theorem, but I am trying to use the above integral to prove the fourier theorem. May21 comment Easiest way to prove integral of $e^{ikx}$ is $\delta(k)$ @Mathlover, I'm asking how do you know that the integral of g(x) from -e to e is 2pi. You've stated it but haven't proven it, and this is the only step in the proof I don't understand. May21 comment Easiest way to prove integral of $e^{ikx}$ is $\delta(k)$ @Mathlover, I struggle with the last part of that proof. I can't understand the jump from lim sin(ax)/x = 2pidelta(k). How can we prove the limit is 2pidelta(k)? May21 comment Easiest way to prove integral of $e^{ikx}$ is $\delta(k)$ @Mathlover, thanks May21 asked Easiest way to prove integral of $e^{ikx}$ is $\delta(k)$ May12 comment Prove that $u(x,t)=\int_{-\infty}^{\infty}c(w)e^{-iwx}e^{-kw^2t}dw\rightarrow 0$ if $x\rightarrow \infty$ proofwiki.org/wiki/Riemann-Lebesgue_Lemma Apr7 awarded Talkative Apr7 comment How many ways to add to 21? @NikhilMahajan,I want to know the process for answering this particular question. Full working out is expected from a good answer, as demonstrated by the accepted answer, hence I do not need to specify in the question that I want working to be shown. Apr7 accepted How many ways to add to 21? Apr7 comment How many ways to add to 21? No this isn't homework, and I know the answer is 880, but what is the process to figure it out? Apr7 asked How many ways to add to 21?