sparknotes
The Taylor Series
Problems
Problem :
Prove that
(sin(x)) = cos(x)
using the Taylor series of the two functions.
Problem :
Prove that
1/(x + 1)dx = log(x + 1)
using Taylor series. (The Taylor series for
1/(x + 1)
is
(- 1)n
x
n
.)




x
2n+1
(sin(x))
x
2n
x
2n
dx
x
n+1


