The discussion revolves around finding the Taylor series for the function 1/(4x-5) - z/(3x-2) centered at 0. Participants are exploring how to apply known Taylor series expansions, such as those for e^x, sin x, or 1/(1-x), to this problem.
The discussion is ongoing, with participants sharing their thoughts on how to approach the problem. Some guidance has been offered regarding the use of known series expansions, but there is still uncertainty about the setup and the role of z in the context of the Taylor series.
There is a lack of clarity regarding the function's variables and the original poster's understanding of Taylor series, which may be affecting the discussion. Participants are also navigating the challenge of refreshing their memory on the topic.
Dick said:I really don't understand that. Is that a function of two variables, x and z?
myusernameis said:haha... no i don't know how "z" got in there... the question is asking us to find the taylor series by using like e^x, sin x, or 1/(1-x) taylor series...
idk if that's making sense ...
Mark44 said:You didn't ask my opinion, but I'll give it to you anyway, for free. I think you're in a class that's way over your head.
Mark
Dick said:Then use things like 1/(1-x)=1+x+x^2+... You can expand inverse linear functions like 1/(ax+b) as a power series.