Question

Hello,

Find the first three nonzero terms of the Maclaurin Series for each function and the values of x for which the series converges absolutely.

(cos(x))log(1+x)

Answer #1

Use multiplication or division of power series to find the first
three nonzero terms in the Maclaurin series for the function.
(Enter your answers as a comma-separated list.)
y = 8 sec(4x)

Find the first two nonzero terms of the Maclaurin expansion of
the given function:
f(x)=cosx^2

Give the first four nonzero terms in the Maclaurin series
representation for y=e^x/sinx

Find the first five nonzero terms of the Maclaurin
expansion.
f(x) = e^x/(1+x)

The function f(x)=lnx has a Taylor series at a=4 . Find the
first 4 nonzero terms in the series, that is write down the Taylor
polynomial with 4 nonzero terms.

A) Find the first 4 nonzero terms of the Taylor series for the
given function centered at a = pi/2
B) Write the power series using summation notation
f(x) = sinx

How to find the first three terms of the Maclaurin Series for
f(x) = sin(2*pi*x).

1) Solve by power series around x=0: y"-2xy'-2y=0
(Find the first three nonzero terms of each of the LI
solutions)

Question #11
Find:
The first 3 nonzero terms a Taylor series (at a = 0) of f1(x) =
sin x, f2(x) = x cos x, f3(x) = x/(2 + 2x^2 ), and f4(x) = x −
(x^3/2) − x^5
No explanation is necessary for finding: sin x, cos x, and 1/(1
− x).)

f(x) = e x ln (1+x) Using the table of common Maclaurin
Series to find the first 4 nonzero term of the Maclaurin Series for
the function.

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