Question

find the maclaurin series for f and its radius of
convergence.

(1) f(x) = (1-x)^-5

(2) f(x) = ln(1+x^2)

Answer #1

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

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

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

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1) find the Taylor series expansion of
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convergence.
2) Find the radius of convergence and interval
of convergence of the series Σ (x^n)/(2n-1) upper infinity lower
n=1

Consider the function: f(x)=1/(1+x2)2
(a) Find the MacLaurin series of f.
(b) Find the interval of convergence of that series.

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 the taylor series f(x)=1/x at c=1 and the radius of
convergence.

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