Wednesday

August 20, 2014

August 20, 2014

Posted by **Jimmy** on Saturday, June 5, 2010 at 8:56pm.

Here is a link to a pic of a page in my book, regarding the exponential series:

ht tp://i46.tiny pic(.)(com)/qz0oat . jpg

(remove parentheses and spaces)

A couple of questions:

Where does the [1 + (1/k)]^k come from and why is it used?

Could you clarify the expansion of [1+(1/k)]^k?

I don't understand how it gets to ... k(1/k) + k(k-1)/2! (1/k^2) + ...

How does it end up with a 1 + 1 + 1[1-(1/k)]/2! + ...

Why are you finding the limit of the series?

And finally how do you end up with exponential series

x^n /n! = 1 + x + x^2/2! + ... ?

I'm confused and just really don't understand why or how you end up with everything. Help is VERY appreciated.

**Related Questions**

Math - Using the index of a series as the domain and the value of the series as ...

Calculus - a) Find the Taylor series associated to f(x) = x^-2 at a = 1. Be sure...

College Calculus (Binomial Series) - Expand f(x) = (x+x^2)/((1-x)^3) as a power ...

Algebra - Using the index of a series as the domain and the value of the series ...

calculus - Consider ∞ ∑ [(3k+5)/(kČ-2k)]ᵖ, for each p ∈...

calculus - With power series, is an endpoint convergent if you plug it back into...

calculus - power series ASAP please :) - using power series, integrate & ...

calculus - Where did the exponential series come from? 1 + x + x^2/2! + x^3/3...

Calculus - Obtain the MacLaurin series for 1/(2-x) by making an appropriate ...

Calculus - For what values of p>0 does the series Riemann Sum [n=1 to ...