Question

Find a power series representation for the function.

f(x) = ln(5 − x)

f(x) = ln(5) +

∞ |
(−1)nn(x5)n |

n = 0 |

Determine the radius of convergence, *R*.

*R* =

Answer #1

Find a power series representation for f(x) = ln(x^7 + 2), and
find its radius of convergence.

Find a power series representation for the function. (Give your
power series representation centered at x = 0.)
f(x) =
8
3 −
x
f(x) =
∞
n = 0
Determine the interval of convergence. (Enter your answer using
interval notation.)

1. Use a power series to approximate the definite integral, I,
to six decimal places. 0.4 to 0, (x5 / 1 + x6 ) dx
2. Find a power series representation for the function. (Give
your power series representation centered at x = 0.)
f(x) = ln(9 − x). Determine the radius of convergence, R. I
already found the first part to be x is 1/n(x/9)^n but can't find
R

Find a power series representation for the function.
f(x)=x^3/(x-8)^2
f(x)=SIGMA n=0 to infinity
Determine the radius of convergence
Use a Maclaurin series in this table to obtain the Maclaurin
series for the given function
f(x)=xcos(2x)

Find the power series representation for the function: f(x) =
x2 / (1+2x)2 Determine the radius of
convergence.

Find a power series representation for the function. (Give your
power series representation centered at x = 0.)
f(x) = (x^2) / (x^4 +16 )
Determine the interval of convergence. (Enter your answer using
interval notation.)

5. Power Series. Find a power series representation
and the radius of convergence for any the functions f(x) below
where, in each case, a is a non-zero constant.
(a) f(x) = arctan(ax)
(b) f(x) = ln(a − x^2)

Find a power series representation for the function and
determine the radius of convergence.
1) f(x)=x^3/(x-2)^2
2) f(x)=arctan(x/3)

Find a power series representation for the function; find the
interval of convergence. (Give your power series representation
centered at x = 0.) f(x) = (x2 + 1)/ (2x − 1)

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

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 26 minutes ago

asked 30 minutes ago

asked 30 minutes ago

asked 58 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago