Find a power series for the following function, centered at c =
0, and determine the interval of convergent
f(x)=(3x−8)/(3x^2+5x−2)
(show all the works please)
Find a power series for the function, centered at
c.
f(x) =
3
2x − 1
, c = 2
f(x) =
∞
n = 0
Determine the interval of convergence. (Enter your answer using
interval notation.)
Find the first four nonzero terms in a power series expansion
about x = 0 for a general solution to the given differential
equation
(x2 + 7)y'' + y = 0
Find the first four nonzero terms in a power series expansion
about x = 0 for a general solution to the given differential
equation
w'' - 6x2 w' + w = 0
Find the first four nonzero terms in a power series expansion
about x 0 for a general solution to the given differential equation
with the given value for x0=2.
(4x^2)y''-3y'+5y=0
a) Find the Taylor series for sinh(x) (centered at x=0), for e^x
(centered at x=0) and hyperbolic sine and hyperbolic cosine.
b) same as a but cosh(x) instead