11 Answered Questions for the topic Taylor Series
Please Help I don't understand
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
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
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?)
can you please help me with this Taylor series problem???????????
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
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
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
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
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
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
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