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 Jan 31 awarded Yearling Jan 20 comment On the series $\sum_{n = 1}^{\infty} \Bigg( \frac{3 + nx}{2n + x} \Bigg)^n$. try setting up an argument on when -2x where your arguing on the fact of when n is even and when n is odd based on whether the inside is positive or negative will give you two cases. Jan 20 comment On the series $\sum_{n = 1}^{\infty} \Bigg( \frac{3 + nx}{2n + x} \Bigg)^n$. you can't prove uniform convergence for x<0 pick x=-2 for example for n=1 your dividing by 0 for n =2 you get a positive number. in fact for all values of x<0 there exists an n that will give you a positive number and an n that gives you a negative number at some point in the series. Jan 20 comment How do I find this multiple variable function limit, if it exists hes using the power series expansion of cos. Jan 20 comment How do I find this multiple variable function limit, if it exists You could always use squee's theorem you know $\cos (y) -1 \leq 0 \forall y$ use this idea to create an always larger or equal value using a basic function like I dunno y. then make an argument based on what x(y-1) does as x,y aproach 0, this will make your argument much easier. Nov 30 awarded Notable Question Oct 31 accepted Simple Logarithmic question. Oct 31 accepted Density of the Rationals? Oct 31 comment Density of the Rationals? Think a combination of Prince and Nitrogen answered my question. thanks guys. Oct 31 revised Density of the Rationals? added 210 characters in body; edited title Oct 31 comment Density of the Rationals? I understand where your coming from and i agree that the rationals are dense in $\mathbb {R}$ but if theirs a rational between every irrational then why are the irrationals uncountable whilst the rationals are? Oct 31 comment Density of the Rationals? pick a name for it that make sense an ill rename it. Oct 31 asked Density of the Rationals? Sep 23 awarded Popular Question Sep 19 awarded Nice Question Apr 19 comment Simple Logarithmic question. thank you for answering my question. Apr 19 comment Simple Logarithmic question. perhaps that's the answer my book has, but i cant do that in my head... Apr 19 comment Simple Logarithmic question. 3 twos means log base 3 will give you a two one 3 means logs base 3 will give you a cubic root of 3 but im not sure if i can do that or not. Apr 19 asked Simple Logarithmic question. Mar 17 awarded Popular Question