Question

find the power series representation for the function f(x) = x /
(1-x)^2

Answer #1

Use differentiation to find a power series representation for
the following function: f(x) = x/ (1 + 2x)^2

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 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. (Give your
power series representation centered at x=0x=0.)
f(x)=1/15+x

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.)

Find a power series representation for the function; determine
the interval of convergence. f(X) = (3x^2)/(5x+1)

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.)

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)

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 =

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)

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