Integral Calculus 201-NYB-05 Vincent Carrier ... - SLC Home Page

Integral Calculus 201-NYB-05
Vincent Carrier
Maclaurin Series of the Sine Function
f(x) = x
f(x) = x − x3
3!
y
✻
y
✻
0
✲
x
0
✲
x
f(x) = x − x3
3! + x5
5!
f(x) = x − x3
3! + x5
5! − x7
7!
y
✻
y
✻
0
✲
x
0
✲
x
f(x) = x − x3
3! + x5
5! − x7
7! + x9
9!
f(x) = x − x3
3! + x5
5! − x7
7! + x9
9! − x11
11!
y
✻
y
✻
0
✲
x
0
✲
x

Maclaurin Series of the Cosine Function
f(x) = 1
f(x) = 1 − x2
2!
y
✻
y
✻
0
✲
x
0
✲
x
f(x) = 1 − x2
2! + x4
4!
f(x) = 1 − x2
2! + x4
4! − x6
6!
y
✻
y
✻
0
✲
x
0
✲
x
f(x) = 1 − x2
2! + x4
4! − x6
6! + x8
8!
f(x) = 1 − x2
2! + x4
4! − x6
6! + x8
8! − x10
10!
y
✻
y
✻
0
✲
x
0
✲
x