Results 1 to 8 of 8

Math Help - Estimate value of e

  1. #1
    Member
    Joined
    Oct 2012
    From
    Nowhere
    Posts
    82

    Estimate value of e

    Estimate value of e-math.jpg Click image to enlarge please.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,623
    Thanks
    428

    Re: Estimate value of e

    the expression posted is very good approximation of e3
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Oct 2012
    From
    Nowhere
    Posts
    82

    Re: Estimate value of e

    Can you show me the steps please?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,615
    Thanks
    1578
    Awards
    1

    Re: Estimate value of e

    Quote Originally Posted by Eraser147 View Post
    Can you show me the steps please?
    It is well known that \lim _{n \to \infty } \left( {1 + \frac{r}{n}} \right)^n  \to e^r .

    So if n=10^{100} then from the limit we see it is an approximation for e^3
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Member
    Joined
    Oct 2012
    From
    Nowhere
    Posts
    82

    Re: Estimate value of e

    I don't know limits yet. Is there another explanation?
    Follow Math Help Forum on Facebook and Google+

  6. #6
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,615
    Thanks
    1578
    Awards
    1

    Re: Estimate value of e

    Quote Originally Posted by Eraser147 View Post
    I don't know limits yet. Is there another explanation?
    Absolutely none that I know.
    If you don't know about limits, then I cannot understand why you were asked this question. What does question relate to? Is it in any particular course?
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Member
    Joined
    Oct 2012
    From
    Nowhere
    Posts
    82

    Re: Estimate value of e

    it's related to natural logs. That's all I learned in class.
    Follow Math Help Forum on Facebook and Google+

  8. #8
    Junior Member
    Joined
    Oct 2012
    From
    India
    Posts
    61
    Thanks
    3

    Re: Estimate value of e

    One sec, there is always a simple explanation. First consider this.

    (1 + 1/1)^1 = 1.
    (1 + 1/2)^2 = 9/4 = 2.25.
    (1 + 1/3)^3 = 64/27 = 2.37
    (1 + 1/4)^4 = 625/256 = 2.44

    as you can see, the values are approaching something, right. For higher values of n, the expression (1 + 1/n)^n likely, remains constant with little variation. Similarly, use a calculator or some math programs and work out what he is saying, you will see the point.

    Salahuddin
    Maths online
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Find a lower estimate and an upper estimate
    Posted in the Calculus Forum
    Replies: 2
    Last Post: May 17th 2010, 03:28 AM
  2. estimate
    Posted in the Statistics Forum
    Replies: 1
    Last Post: April 1st 2010, 08:18 PM
  3. Point estimate and Interval estimate
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: October 11th 2009, 08:42 AM
  4. Estimate mean and std dev?
    Posted in the Advanced Statistics Forum
    Replies: 4
    Last Post: April 9th 2009, 11:56 AM
  5. Estimate
    Posted in the Calculus Forum
    Replies: 0
    Last Post: December 8th 2008, 12:12 PM

Search Tags


/mathhelpforum @mathhelpforum