11 Answered Questions for the topic Taylor Series

03/08/21

The third-degree Taylor polynomial for a function f about X=2 is1+(1/3)(x-2)+(1/2)(x-2)^2+(9/32)(x-2)^3What is the value of f'''(2)
Taylor Series Calculus

04/24/20

#### Find the Taylor polynomial Tn(x) for the given function at the number a.

Find the Taylor polynomial Tn(x) for the given function at the number a.f(x)=tan^-1(2x)a=1/2n=3T3(x) = [?]
Taylor Series Complex Numbers

04/24/18

#### What is Taylor series of ln(z-3)(z-1)?

Around 0? And what is the radius of convergence? (And the domain of the function?)
Taylor Series

02/02/18

Use zero- through fourth-order Taylor series expansions to predict f(2.5) for: f(x) = ln x using a base point at x = 1. Compute the true percent relative error E% for each approximation. Discuss... more

12/03/17

#### Find the power series of (x^2)ln(3-x) using term by term differentiation/integration?

how would you find the power series representation of x2ln(3-x) using term by term differentiation or integration?

#### Numerical solver for y’=3xy^3

For this equation is the Taylor Series the best approach to wstimate numerically? I am also using Euler’s to compare.    Trying to find y(1) given y(x) is a solution to the equation and knowing... more
Taylor Series Math Struggle Easy To Do

09/10/17

#### Let f(x)=sqrt(x+1);Compute T1,T2 at 0. And by that I mean Taylor . I know how to compute a Taylor polynomial for f(x,y) but how do I compute for f(x)?

Let f(x)=sqrt(x+1); Compute T1,T2 at 0. And by that I mean Taylor . I know how to compute a Taylor polynomial for f(x,y) but how do I compute for f(x)?   Please help I have an exam tomorrow :( ... more
Taylor Series Ode's

10/14/15

#### Using Taylor series on an existing ODE

I have had to calculate the limits for the fraction 1-cos(x) over xsin(pi x) and found the answer to be 1 over 2pi. However, now i have to apply taylor series to the numerator and the denominator... more
Taylor Series Lhospitals

10/13/15

#### Calculate the limit as X approaches 0 of the fraction 1-cos (x) over x sin (pi x),

The answer requires the replacement of the numerator and denominator with a taylor series that will produce the same limit as when lhospitals is applied to the original fraction/equation

02/15/15

#### Find the Taylor polynomials of degree 3 for f(x) = x^3 + 2x^2 + x - 2 about a = 1? Also explain the error in this polynominal

I have already found out the Taylor polynomial of degree 3   f(x) = x³ + 2x² + x − 2 ----> f(1) = 2 f'(x) = 3x² + 4x + 1 -------> f'(1) = 8 f''(x) = 6x + 4 --------------> f''(1) = 10... more
Taylor Series

08/05/14

#### taylor series

Find the Taylor series for f(x)=sin x expanded at about x=(pi/2) and prove that the series converges to sin x for all x

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