Results 1 to 3 of 3

Math Help - exponential function on wikipedia

  1. #1
    Junior Member
    Joined
    Feb 2010
    Posts
    50

    exponential function on wikipedia

    hi guys,

    would some one be willing to explain this figure on the wikipedia's article:
    Exponential function - Wikipedia, the free encyclopedia

    "The exponential function (in blue), and the sum of the first n + 1 terms of the power series on the left (in red)." - the figure on the right, I don't understand what tries to say and especially I am interested to understand the meaning of the red curve

    THANKS
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    9,899
    Thanks
    329
    Awards
    1
    Quote Originally Posted by problady View Post
    hi guys,

    would some one be willing to explain this figure on the wikipedia's article:
    Exponential function - Wikipedia, the free encyclopedia

    "The exponential function (in blue), and the sum of the first n + 1 terms of the power series on the left (in red)." - the figure on the right, I don't understand what tries to say and especially I am interested to understand the meaning of the red curve

    THANKS
    The graph of the blue line is e^x. The red curve is the individual tems of the summation, being added one at a time. I have no idea why they would include this except to show that the series does actually converge to e^x.

    -Dan
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Opalg's Avatar
    Joined
    Aug 2007
    From
    Leeds, UK
    Posts
    4,041
    Thanks
    7
    Quote Originally Posted by topsquark View Post
    The graph of the blue line is e^x. The red curve is the individual tems of the summation, being added one at a time. I have no idea why they would include this except to show that the series does actually converge to e^x.

    -Dan
    I think the idea is to show how fast the series converges. In fact, on the interval from –e to e, the graph of the sum of the first eight terms of the series is almost indistinguishable from the exponential graph.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] wikipedia entry on Pascal's rule
    Posted in the Discrete Math Forum
    Replies: 9
    Last Post: October 8th 2011, 07:43 PM
  2. Replies: 4
    Last Post: April 4th 2011, 01:50 PM
  3. Good LaTex help article at Wikipedia
    Posted in the LaTeX Help Forum
    Replies: 0
    Last Post: October 8th 2009, 01:02 AM

Search Tags


/mathhelpforum @mathhelpforum