1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Convergent or Divergent

  1. Oct 29, 2011 #1
    I need to find out if this function is convergent or divergent when finding the limit to infiniti.

    nsin(npi)

    How do I solve this? Do I use the squeeze theorem or lhospital rule?
     
  2. jcsd
  3. Oct 29, 2011 #2
    Evaluate the function in n=0,1,2,3,... Do you see a pattern??
     
  4. Oct 29, 2011 #3
    I want to know how to do this algebraically
     
  5. Oct 29, 2011 #4
    If you follow my hint then you can do it algebraically.
     
  6. Oct 29, 2011 #5
    It goes in increments of 180
     
  7. Oct 29, 2011 #6
    What is [itex]n*\sin(n*\pi)[/itex] for n=1,2,3,4 ???? What is the exact result??
     
  8. Mar 5, 2012 #7
    This sereis 1→∞ Ʃnsin (n∏) is equal to 1→∞ Ʃ(-1)^n (n) which is divergent hence given sereis is DIVERGENT
     
  9. Mar 5, 2012 #8

    HallsofIvy

    User Avatar
    Science Advisor

    What? Where did you get the sum from? The question was only about the sequence.

    realism877, do you not know what [itex]sin(\pi)[/itex], [itex]sin(2\pi)[/itex], [itex]sin(3\pi)[/itex], ... are? Your statement "it goes in increments of 180" implies that you do not, "[itex]\pi[/itex] radians" is the same as "180 degrees" but you should not have to convert to degrees to get this nor should you have to use a calculator. If you have taken a trigonometry or pre-calculus course you should know those "by heart"!
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook




Loading...