Question

Find the Taylor series for f(x)= sinx at a=pi/6. (Find up to the fifth degree)

Answer #1

Find the Taylor Series at a=pi/2 for f(x)=5cos(x).

Expand in Fourier Series.
f(x) = (sinx)^3, -pi < x < pi

Find the Taylor series for the function f(x)=sin(pi(x)-pi/2)
with center a=1

Find the fifth Taylor series for f(x)=1/(x^2) about x=-1

Known f (x) = sin (2x)
a. Find the Taylor series expansion around x = pi / 2, up to 5
terms only.
b. Determine Maclaurin's series expansion, up to 4 terms only

Find the Taylor series for the function using the definition of
Taylor series.
f(x) = cos2x , a = pi

Problem 15:
Find the taylor series for f (x) = cos (2x) around x = pi/4, and
find its interval and radius of convergence.

Find the Taylor series for f(x) centered at
the given value of a. [Assume that f has a power
series expansion. Do not show that
Rn(x) → 0.]
f(x) = xcos(x), a = pi

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

Find the Taylor series for f(x) centered at
the given value of a. [Assume that f has a power
series expansion. Do not show that
Rn(x) → 0.]
f(x) = sin(x), a = pi/2

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