Question

find the taylor series of ln 2x centered at x=2

Answer #1

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

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

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

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
Rn(x) → 0.] f(x) = e^x, a = ln(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 =?

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
Rn(x) → 0.]
f(x) = 2x − 4x3, a = −2

For the function f(x) = ln(4x), find the 3rd order Taylor
Polynomial centered at x = 2.

Use the definition of Taylor series to find the Taylor series
(centered at c) for the function.
f (x) = e3x, c = 0

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?

let
f(x)=ln(1+2x)
a. find the taylor series expansion of f(x) with center at
x=0
b. determine the radius of convergence of this power
series
c. discuss if it is appropriate to use power series
representation of f(x) to predict the valuesof f(x) at x= 0.1, 0.9,
1.5. justify your answe

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