Question

Find the maclaurin series for f(x), centered around 1. (n=1)

f(x) = ln(1-7x)

Answer #1

Find the Maclaurin series for f(x) = ln(x + 3).

f(x) = e x ln (1+x) Using the table of common Maclaurin
Series to find the first 4 nonzero term of the Maclaurin Series for
the function.

Find the MacLaurin series for f(x)=ln(2-x) and its IOC.

Find a Taylor series centered at c for f(x) = ln(x^2), c=1

Find the taylor series for f(x) = ln (1-x) centered at x = 0,
along with the radius and interval of convergance?

find the power series representation centered at a=0 of
a.) f(x) = x/(5+7x)
b.) f(x) = x^2 sin(3x)

find the maclaurin series for f and its radius of
convergence.
(1) f(x) = (1-x)^-5
(2) f(x) = ln(1+x^2)

Find the Taylor series for f ( x ) centered at the given value
of a . (Assume that f has a power series expansion. Do not show
that R n ( x ) → 0 . f ( x ) = ln x , a = 5
f(x)=∞∑n =?

1. Consider the function f(x) = 2x^2 - 7x + 9
a) Find the second-degree Taylor series for f(x) centered at x =
0. Show all work.
b) Find the second-degree Taylor series for f(x) centered at x =
1. Write it as a power series centered around x = 1, and then
distribute all terms. What do you notice?

PART A: Find the Taylor series for ln x
centered at x = 5
PART B: Find the second degree Taylor
polynomial for f (x) = arctan x centered at x = 0

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