Find out the taylor series for f (x) = ex about x = 0, Mathematics

Assignment Help:

Find out the Taylor Series for f (x) = ex about x = 0.

Solution

In fact this is one of the easier Taylor Series that we'll be asked to calculate.  To find out the Taylor Series for a function we will need to find out a general formula for f(n)(a).  This is one of the some functions in which this is simple to do right from the start. 

To obtain a formula for f(n)(0) all we should require to do is recognize that,

f(n) (x) = ex                             n = 0,1,2,3,....

and so

f(n) (0) = e0 = 1                       n = 0,1,2,3,...

Hence, the taylor series for f (x) = ex about x=0 is,

1870_Find out the Taylor Series for f (x) = ex about x = 0.png


Related Discussions:- Find out the taylor series for f (x) = ex about x = 0

What is common triangles, Q. What is Common Triangles? Ans. Some t...

Q. What is Common Triangles? Ans. Some triangles appear more commonly than others. You will come across two triangles repeatedly as you learn more about trigonometry. T

Discovery, i have discovered a formula for finding the radius at any point ...

i have discovered a formula for finding the radius at any point of the graph have i done a good job

Quadric surfaces, identify 4 sketch the quadric surfaces

identify 4 sketch the quadric surfaces

Ellipsoid - three dimensional spaces, Ellipsoid Now here is the genera...

Ellipsoid Now here is the general equation of an ellipsoid. X 2 / a 2 + y 2 /b 2 + z 2 /c 2 = 1 Here is a diagram of a typical ellipsoid. If a = b = c afterw

Detemine multiplying a polynomial by a monomial, Detemine Multiplying a Pol...

Detemine Multiplying a Polynomial by a Monomial? To multiply a polynomial by a monomial, use the distributive property. Let's start by talking about ordinary numbers. Say th

A card is drawn from a well shuffled deck of cards, A card is drawn from a ...

A card is drawn from a well shuffled deck of cards (i) What are the odds in favour of getting spade? (Ans: 1:3, 3:1, 3:10, 1:25) (ii)  What are the odds against getting a spa

Express the gcd as a linear combination, Express the GCD of 48 and 18 as a ...

Express the GCD of 48 and 18 as a linear combination.              (Ans: Not unique) A=bq+r, where  o ≤  r 48=18x2+12 18=12x1+6 12=6x2+0 ∴ HCF (18,48) = 6 now  6

Integration, It is known that a radioactive material decays at a rate propo...

It is known that a radioactive material decays at a rate proportional to the amount present.If after a period of 12 years,a 2g piece of radium weighs 1.99g.How long will it be befo

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