Could someone help me with this problem? Thanks.
"Prove that the Taylor series of sin(x) at a=pi/2 represents sin(x) for all x."
I already know how to find the Taylor series, but I have no idea how to prove anything.
Use Taylors' remainder theorem
Taylor's theorem - Wikipedia, the free encyclopedia
Note that for all
and . Also that for each x that the remainder (the error) goes to