i have my final coming up very soon, and i am completely lost with taylor polynomials. i cant really grasp what the prof. talks about and the my book is just like a theory book, so i dont really get that either.
anyways, if someone can give me a crash course telling me what they do, how to find them, when to use them, etc...
and also i have these exercises that i obviously cant do, so if someone can walk me through some (preferably after explaining what exactly to do)
obtain the following taylor polynomials...
1. T(subscript=2n+1) (x/(1-x^2))= summation notation from k=0 to n (x^(2k+1))
2. T(subscript=n) (log (1+x))=summation notation from k=1 to n [(-1)^(k+1) (x^k)]/k
3. T(subscript=2n) (sin^2 x)=summation notation from k=1 to n [(-1)^(k+1)][(2^(k-1))/((2k)!)][x^2k]
it says hint=cos 2x= 1- 2sin^2 x
thanks for any and all help!