Determine the taylor series, Mathematics

Assignment Help:

Example: Determine the Taylor series for f(x) = ex about x=0.

Solution

It is probably one of the easiest functions to get the Taylor series for. We just require recalling that,

f(n)(x) = ex                                 n = 0,1,2,.....

Therefore we find,

f(n)(0) = 1                                  n = 0,1,2,.....

The Taylor series for this illustration is then,

932_Determine the Taylor series.png

Obviously, it's frequently easier to find the Taylor series about x=0 but we don't all the time do that.

Definition

A function, f(x), is termed as analytic at x=a if the Taylor series for f(x) regarding to x=a has a positive radius of convergence and converges to f(x).


Related Discussions:- Determine the taylor series

Multiplication of complex numbers, Multiplication of complex numbers Af...

Multiplication of complex numbers After that, let's take a look at multiplication.  Again, along with one small difference, it's possibly easiest to just think of the complex n

Find relation between x and y while lies on straight line, Find the relatio...

Find the relation between x and y when the point (x,y) lies on the straight line joining the points (2,-3) and (1,4) [ Hint: Use area of triangle is 0] Ans :   Hint: If the poi

Multiplication of two unlike terms with opposite signs, The product on mult...

The product on multiplying - 4bc with 2a is - 8abc. That is, a term with minus sign multiplied with a term having a positive term gives a product which has a minus sign. On the

Find out the area under the parametric curve, Find out the area under the p...

Find out the area under the parametric curve given by the following parametric equations.  x = 6 (θ - sin θ) y = 6 (1 - cos θ) 0 ≤ θ ≤ 2Π Solution Firstly, notice th

Need some clarity?, THE % PARTICIPATION Feature in a major medical expense ...

THE % PARTICIPATION Feature in a major medical expense policy is 75% with a $100 deductible. how much of a $2,000 bill is the insured responsible for paying?

Example of mixing problems, A 1500 gallon tank primarily holds 600 gallons ...

A 1500 gallon tank primarily holds 600 gallons of water along with 5 lbs of salt dissolved into it. Water enters the tank at a rate of 9 gal/hr and the water entering the tank has

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd