Test 6 Prep

Question 1

Defintion of a taylor series

Answer 1

∞
Σ ((f^(n))(c)/(n!)) (x-c)^n
n=0

Question 2

How is maclaurin series different from taylor series?

Answer 2

Maclaurin series is always centered at 0. a or c = 0 all the time. Taylor series isn’t centered at 0.

Question 3

Defintion of power series

Answer 3

∞
Σ a_n * (x-c)^n
n=0