# flapjackery

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# 51 Actions

 Jul2 awarded Curious May23 asked How do I work out the last sentence in this section of a proof of the Unique Factorization Theorem? Mar19 asked How can I show that $u=e^{\sigma\sqrt{\Delta t}}$ in the binomial option pricing model Dec20 comment Please show $|\sin(n+1)x| = |\sin(nx+x)|$ Thanks. That makes sense. Is this typically how arguments for sine are written? I feel like the way you have written in in your answer makes much more sense, in fact, aren't the extra set of brackets necessary? Otherwise what I wrote in my question should be interpreted as (sin(n+1))*x, right? Dec20 accepted Please show $|\sin(n+1)x| = |\sin(nx+x)|$ Dec19 asked Please show $|\sin(n+1)x| = |\sin(nx+x)|$ Oct30 accepted What's the derivative $\frac{dE[F]}{dF_i}$ of this function $E[F] = |\frac{dF}{dx}|^2$? Oct21 asked What's the derivative $\frac{dE[F]}{dF_i}$ of this function $E[F] = |\frac{dF}{dx}|^2$? Jun12 accepted Evaluate the limit: $\lim_{(x,y,z)\to(0,0,0)}\frac{xy+yz^2+xz^2}{x^2+y^2+z^4}$ Jun12 asked Evaluate the limit: $\lim_{(x,y,z)\to(0,0,0)}\frac{xy+yz^2+xz^2}{x^2+y^2+z^4}$ Jun11 asked Why does direct substitution work for limits? Jun11 awarded Commentator Jun10 comment How to evaluate $\lim_{(x,y)\to(0,0)}\frac{y^2\sin^2x}{x^4+y^4}$ Thank you, Peter! Jun10 accepted How to evaluate $\lim_{(x,y)\to(0,0)}\frac{y^2\sin^2x}{x^4+y^4}$ Jun10 asked Limit of two variables, proposed solution check Jun10 comment How to evaluate $\lim_{(x,y)\to(0,0)}\frac{y^2\sin^2x}{x^4+y^4}$ Thanks, Robert. That makes sense. So to my earlier point, is it sufficient to say that since the limit depends on the value of alpha, the limit cannot exist? Jun10 comment How to evaluate $\lim_{(x,y)\to(0,0)}\frac{y^2\sin^2x}{x^4+y^4}$ Ok, I did that. I notice that the limit is dependent on the value of alpha which means the limit does not exist. Is this sufficient? Once I state this, what is the point of using sin(x)/x -> 1? Jun10 asked How to evaluate $\lim_{(x,y)\to(0,0)}\frac{y^2\sin^2x}{x^4+y^4}$ May26 accepted Find cumulative, marginal densities, moments for $f(x)=2,\le y \le x \le 1$ (multivariate) May26 comment Find cumulative, marginal densities, moments for $f(x)=2,\le y \le x \le 1$ (multivariate) I really appreciate you taking the time to answer as thoroughly as you did. Thanks for the help! I think that should be enough to get me started on my own for now.