Advertisement
If you have a new account but are having problems posting or verifying your account, please email us on hello@boards.ie for help. Thanks :)
Hello all! Please ensure that you are posting a new thread or question in the appropriate forum. The Feedback forum is overwhelmed with questions that are having to be moved elsewhere. If you need help to verify your account contact hello@boards.ie
Hi there,
There is an issue with role permissions that is being worked on at the moment.
If you are having trouble with access or permissions on regional forums please post here to get access: https://www.boards.ie/discussion/2058365403/you-do-not-have-permission-for-that#latest

Unusual trig limit

  • 25-11-2010 9:04pm
    #1
    dafunk
    Registered Users, Registered Users 2 Posts: 817 ✭✭✭


    I came across this limit earlier which I have never seen before, dunno if it's just late at night or what's wrong with me but I can't figure it out, I know, of course that

    Lim { as n tends to 0 } of {sin n} over n = 1 but can anyone shed light on this:

    weirdtriglimit.png


Comments

  • #2
    MathsManiac
    Registered Users, Registered Users 2 Posts: 1,595 ✭✭✭MathsManiac


    Well the limit on the left can readily be seen to equal Pi, using the result you referred to. (Although it's odd to see n used as a real number rather than an integer.)

    But I suspect that what you're being shown here is the use of l'Hopital's rule to get the same result.


  • #3
    Fremen
    Registered Users, Registered Users 2 Posts: 2,481 ✭✭✭Fremen


    You want to multiply the left above and below by pi, then let x = n pi and it'll start to look more familiar.


  • #4
    dafunk
    Registered Users, Registered Users 2 Posts: 817 ✭✭✭dafunk


    Thanks, obvious as anything now. It's been a long day and the brain gave up :)


Advertisement