Hello,I'm working on collecting different and important maths series and expansions,please add on something if you know/like.
PS:I'm preparing these for limits so accordingly I need some important ones that I may have left.

Question

dls · Answer

I have expansions of most  of the trigonometrical functions(sinx,cosx,tanx) as well as inverse trigonometrical functions(arcsin,arccos,arctan).I have 
=>e^x and e^(-x)
=>log(1+x) and log(1-x)
=>a^x
=>(1+x)^(1/x)

dls · Answer

@Callisto

anonymous · Answer

don't forget geometric $\frac{1}{1-x}$ and all its relatives, like $\frac{1}{1+x}$, $\frac{1}{x+2x^2}$ etc

callisto · Answer

Maybe $\frac{1}{(1-x)^2}$  and  $\frac{2x}{(1-x)^3}$? You can "derive" it from $\frac{1}{1-x}$ though.

dls · Answer

that is all?

callisto · Answer

I don't know, since I rarely use series in finding the limits :(

dls · Answer

and i mostly use them :P
anyway thanks!