Ok I just started taking calculus 3 which is going over infinite sequences & series, power series, etc.

I got an A in differential calculus and a B+ in integral calc, but this shit is way over my head for some reason. Its way too proof oriented and I suck majorly at that shit.  

Anyways I got this problem. If you take sucessive ratios of of the terms of the fibonacci sequence it converges to the golden mean at infinity. I am suppose to find the appropriate N value of this sequence if e(thats sposed to be an epsilon) is equal to some arbitrary number, say e=.0001. The problem with this is how the fuck am I suppose to define a limit if I cant even write a formula for the fibonacci sequence cause its simply the sum of the last two terms I cant very well say infinity-1 + infinity -2. WTF DO I DO IM SCREWED. Im gonna have to tell my prof that my dog ate my homework. I need help or a point in the right direction, im desperate.

Yeah but i dont understand how the hell you are suppose to find the N for the e=.0001 of the goldean mean sequence of ratios {1/1,1/2,2/3,3/5,5/8,8/13,13/21}

Quoted: okay, so i'm assuming e = F(n+1)/F(n) - golden ratio? that is, difference from golden ratio of the ratio of the nth and  n+1th fibonnaci number? So to show convergence you want to show for N big enough that e is smaller than any given number? then take the ratio F(n+1)/F(n) given by the closed formula i posted.  result won't be pretty, but i think there should be a way to simplify it. Subtract the golden ratio.....and figure out a big enough N to make the whole mess less than epsilon.

thank you

holy shit this is hard.

gahhh, i give up.