use a Taylor series to get the diverivative of f(x)=arctanx^3 and check for the interval of...

use a Taylor series to get the diverivative of f(x)=arctanx^3 and check for the interval of convergence. Is the interval of convergence for f' the same as the interval for f or different? Why?

Expert Solution

milcah answered 2 years ago

1. Find Taylor series centered at 1 for f(x) = e^ (x^2). Then determine interval of...

1. Find Taylor series centered at 1 for f(x) = e^ (x^2). Then determine interval of convergence. 2. Find the coeffiecient on x^4 in the Maclaurin Series representation of the function g(x) = 1/ (1-2x)^2

Find the Taylor series of f(x)=ln(3+2x) about x=0.

Find the Taylor series for f(x)= ln(2+x) centered at x=0 and compute its interval of convergence....

Find the Taylor series for f(x)= ln(2+x) centered at x=0 and compute its interval of convergence. Show all work and use proper notation.

Write the Taylor series for f(x) = cos x about x = 0.

P1. Write the Taylor series for f(x) = cos x about x = 0. State the Taylor polynomials T2(x), T4(x), and T6(x) (note that T3(x) will be the same as T2(x), and T5(x) will be the same as T4(x)). Plot f(x), T2(x), T4(x), and T6(x), together on one graph, using demos or similar (cut-and-paste or reproduce below).

Find the Taylor series for f ( x ) centered at the given value of a...

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 R n ( x ) → 0 . f ( x ) = 2 /x , a = − 4

Find the Taylor series for f (x) = 2/(1+3x) at x = a where a =...

Find the Taylor series for f (x) = 2/(1+3x) at x = a where a = 0

1. If f(x) = ln(x/4) -(a) Compute Taylor series for f at c = 4 -(b)...

1. If f(x) = ln(x/4) -(a) Compute Taylor series for f at c = 4 -(b) Use Taylor series truncated after n-th term to compute f(8/3) for n = 1,.....5 -(c) Compare the values from above with the values of f(8/3) and plot the errors as a function of n -(d) Show that Taylor series for f(x) = ln(x/4) at c = 4 represents the function f for x element [4,5]

(a) Determine the Taylor Series centered at a = 1 for the function f(x) = ln...

(a) Determine the Taylor Series centered at a = 1 for the function f(x) = ln x. (b) Determine the interval of convergence for this Taylor Series. (c) Determine the number n of terms required to estimate the value of ln(2) to within Epsilon = 0.0001. Can you please help me solve it step by step.

Find the Taylor series or polynomial generated by the following functions a. )f(x) √ x centred...

Find the Taylor series or polynomial generated by the following functions a. )f(x) √ x centred at x=4 , of order 3 b.) f(x) cosh x= e^x+e^-x/(2), centred at x=0 c.) f(x) = x tan^-1x^2 , centred at x=0 d.) f(x) = 1/(√1+x^3) , centred at x=0 , of order 4 e.) f(x) = cos(2x+pie/2) centred at x= pie/4

sketch the fourier series of f(x) on the interval -L <= x <= L for A)...

sketch the fourier series of f(x) on the interval -L <= x <= L for A) f(x) = (x when x < L/2 and 0 when > L/2) B) f(x) = e^-x

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