How do I fnd the Maclaurin series in closed form of f(x)= 1/(sq rt(1-x)) and f(x)=cos3x?

Question

anonymous · Answer

h'ok, a maclaurin series is just a taylor series expanded about the point 0. The taylor series of a function is
$$f(x) = f(a) + f'(a)(x-a)/1! + f''(a)(x-a)^2/2! + ...$$
a maclauren series is evaluated at a = 0. I'd assume you'd only have to evaluate the first few terms.

anonymous · Answer

I am very new to calculus and am not even sure about all of the notation to be honest, not to mention I don't have my textbook right now.  Do you have a good online source to learn about these problems?

anonymous · Answer

not really. f'(a) means f(x) differentiated once and evaluated at a (n this case this would be 0) f'' is differentiated twice etc. I'm assuming you know what ! means.