Question

Find the Maclaurin series and associated radius of convergence for ?(?) = ln(2 − ?)

Answer #1

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 Maclaurin series of and the radius of convergence for
the function
fx=ln(1+x)

find the Maclaurin series for f(x) and its radius of convergence:
f(x) = sin 2x

Find the Maclaurin series for ?(?) using the definition of a
Maclaurin series and find at least five derivatives and write at
least five nonzero terms in the expanded form before finding the
summation notation for the series. Assume that ? has a power series
expansion. Do not show that ?? (?)→0. Also find the
associated radius of convergence. Write your final answer for the
series using the summation notation without any derivative or
integration symbol. (pleeease show all the...

1) find the Taylor series expansion of
f(x)=ln(x) center at 2 first then find its associated radius of
convergence.
2) Find the radius of convergence and interval
of convergence of the series Σ (x^n)/(2n-1) upper infinity lower
n=1

Find the Taylor series and associated radius of convergence for
?(?) = cos? at ? = ?/3

Find the MacLaurin series for f(x) = cos(5x^3 ) and its radius
of convergence.
Find the degree four Taylor polynomial, T4(x), for g(x) = sin(x)
at a = π/4.

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

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

1) Find the radius of convergence, R, of the series and Find the
interval of convergence, I, of the series. (Enter your answer using
interval notation.)
∞
4nxn
n2
n = 1
2) Find the radius of convergence, R, of the series.
Find the interval of convergence, I, of the series. (Enter
your answer using interval notation.)
∞
(x −
4)n
n7 + 1
n = 0

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