Results 1 to 4 of 4

Math Help - Find a series for e^x

  1. #1
    Newbie
    Joined
    Mar 2011
    Posts
    7

    Find a series for e^x

    Find a series for e^x.

    1) Use to get e^3.
    a) How accurate after 10 terms? What is sum of 10 terms?
    2) How many to get 0.0001?

    Please please please help me with this calculus problem. I am so lost in my class. step by step work would be greatly appreciated. The work does not have to be completely accurate, I just need the steps. Thank you in advance.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    28
    \displaystyle e^x = \sum_{n=0}^{\infty}\frac{x^n}{n!}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    9,888
    Thanks
    326
    Awards
    1
    Quote Originally Posted by mymony1027 View Post
    Find a series for e^x.

    1) Use to get e^3.
    a) How accurate after 10 terms? What is sum of 10 terms?
    2) How many to get 0.0001?

    Please please please help me with this calculus problem. I am so lost in my class. step by step work would be greatly appreciated. The work does not have to be completely accurate, I just need the steps. Thank you in advance.
    Taylor series
    \displaystyle f(x) \approx f(a) + f'(a) \cdot (x - a) + \frac{f''(a)}{2!}(x - a)^2 + \frac{f'''(a)}{3!}(x - a)^3 + ~...~

    So what are the derivatives of e^x ?

    -Dan
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,492
    Thanks
    1391
    Quote Originally Posted by topsquark View Post
    Taylor series
    \displaystyle f(x) \approx f(a) + f'(a) \cdot (x - a) + \frac{f''(a)}{2!}(x - a)^2 + \frac{f'''(a)}{3!}(x - a)^3 + ~...~

    So what are the derivatives of e^x ?

    -Dan
    And of course, it's easiest if you choose to centre your series about \displaystyle a = 0, since \displaystyle e^a can be evaluated exactly...
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. find the sum of the series
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 13th 2011, 01:06 AM
  2. Replies: 3
    Last Post: September 29th 2010, 06:11 AM
  3. Binomial Series to find a Maclaurin Series
    Posted in the Calculus Forum
    Replies: 4
    Last Post: July 21st 2009, 07:15 AM
  4. find the sum of a series q
    Posted in the Calculus Forum
    Replies: 6
    Last Post: May 15th 2009, 06:36 AM
  5. find the sum of a series
    Posted in the Calculus Forum
    Replies: 2
    Last Post: May 14th 2009, 03:41 PM

Search Tags


/mathhelpforum @mathhelpforum