14 Answered Questions for the topic Taylor Series

Taylor Series Math Calculus

04/15/22

[Calculus] Taylor series
The Taylor series for f(x)=ex at a = 3 is ∑∞n=0 cn(x-3)nFind the first few coefficients.C0=C1=C2=C3=C4=
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Taylor Series Math Calculus

04/15/22

[Calculus] Taylor series

The Taylor series for f(x)=x3 at 1 is ∑∞N=0 Cn(x-1)n.Find the first few coefficients.C0=C1=C2=C3=C4=  I have no clue how to solve this, help greatly appreciated
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03/08/21

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)
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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) = [?]
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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?)
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Taylor Series

02/02/18

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
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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?
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11/07/17

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
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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
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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
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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
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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
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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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Taylor Series Calculus

11/11/13

Find the Taylor Series
Find the Taylor Series of g(x) = cos(x2)/x, c=¶/4   ¶ = pi X      
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