Posted by **URGENT PLZ** on Sunday, May 6, 2007 at 9:19pm.

I am sorry i still dont know how to start. and i am sorry for the problem earlier..it wasnt my fault :(

Note that the way students like you are asked to solve this and similar problems is usually not the way people like me solve such problems.

It is a good exercise to plug in the function in the formula for Taylor expansions and do the differentiations and try to obtain the general formula for the n-the term.

However, such derivations can be tedious and it's easy to make mistakes. That's why sooner or later you will be required to know the series expansions of the standard functions like sin(x) cos(x) exp(x) etc. Then you can quickly derive series expansions without repeatedly differentiating functions.

Also, note that computer algebra systems do not use Taylor's formula to derive Taylor series at all! They utilize the expansions for standard functions plus some clever tricks.

In fact, if you ask a comuter algebra system to find the n-th derivative at some point, it will actually derive the n-th order term in the Taylor expansion around that point and extract the derivative that way. The number of computations required for that are of order Log(n). This means that computing the millionth derivative of some complicated function at some given point requires no more than a few dozen of operations.

## Answer this Question

## Related Questions

- S.S. - Why didn't Native Americans like signing papers. HA HA sorry I asked ...
- Math - Whoever can help with a question I posted earlier. I am very sorry; I put...
- HSM230,Week 1 - The question I asked earlier about human services organizations ...
- math - for the question i posted earlier, pie = 3. im sorry if i confused some ...
- TO MS SUE - oops i fogot to say that it was the french revolution not the ...
- Physics-repost, sorry, I still don't understand :( - A forearm with a mass of 1....
- DrBob222-re: chem question - Sorry, I did make an error when I posted the ...
- Creative Writing - "I'm sorry," her voice was broken by her tears, "I'm so, so ...
- Advance Math - Sorry, I stated my Problem earlier wrong the question is 1.5 + 4/...
- Math - I asked this question before sorry I I shouldn't ask it again. Express ...

More Related Questions