cos(n*pi/n^2) i have to prove that this sequence is converging to 0. i am unable to see how this would converge to 0. any ideas?
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Originally Posted by needhelp101 cos(n*pi/n^2) i have to prove that this sequence is converging to 0. i am unable to see how this would converge to 0. any ideas? It doesn't converege to zero. What you have simplifies to and this converges to 1 as n --> +oo.
yea, i was able to understand that, but according to the question, it is suppose to converge to 0. i was able to get it to converge to 1, but i wasn't sure if there was any other way for it to converge to 0.
Originally Posted by needhelp101 cos(n*pi/n^2) i have to prove that this sequence is converging to 0. i am unable to see how this would converge to 0. any ideas? As you have it written because as and . Perhaps you meant ? This does equal zero because for all so
Originally Posted by redsoxfan325 Perhaps you meant ? This does equal zero because for all so And to add to that, now the "squeeze" part: for all so Now both "ends" converge to 0, squeezing the middle to zero.
Right, I forgot to finish squeezing in my reply.
But you got the important part
thank u all so much. u all have been very helpful 2 me for this problem.
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