Question

Find the Taylor series of f(x)=1/x around a=2.

Answer #1

Use
the definition of a Taylor Series to find the taylor series for
f(x) = e^(-x/2) centered at 0

Known f (x) = sin (2x)
a. Find the Taylor series expansion around x = pi / 2, up to 5
terms only.
b. Determine Maclaurin's series expansion, up to 4 terms only

Find the fifth Taylor series for f(x)=1/(x^2) about x=-1

Problem 15:
Find the taylor series for f (x) = cos (2x) around x = pi/4, and
find its interval and radius of convergence.

Use this list of Basic Taylor Series to find the Taylor Series
for
f(x) =
1
6x−9
based at 0. Give your answer using summation notation, write out
the first three non-zero terms, and give the interval on which the
series converges. (If you need to enter ∞, use the ∞ button in
CalcPad or type "infinity" in all lower-case.)
The Taylor series for
f(x)=
1
6x−9
is:
∞
k=0
The Taylor series converges to
f(x)
for all x in...

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

Find the Taylor Series at a=pi/2 for f(x)=5cos(x).

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?

Consider the Taylor Series for f(x) = 1/ x^2 centered at x =
-1
a.) Express this Taylor Series as a Power Series using summation
notation.
b.) Determine the interval of convergence for this Taylor
Series.

find the taylor series for
f(x)=1/(4x-1)
at a=1

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