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 Yearling
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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 -2<x<0 and when -2>x 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