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Find the limit of the following sequence_cos?(n) `...

Question

Find the limit of the following sequence_cos?(n) `

Find the limit of the following sequence_ cos?(n) `



Answers

Find the limit of the following sequences or determine that the limit does not exist. $$\left\{\frac{(-1)^{n}}{n}\right\}$$

You just need to find limit off land one over and human by n and and this to infinite day in understand when engaged to infinity. The time we get a coach in the minors in anything than other infinity. Therefore, we can use the love it and row here. Then I looked And so we have to do the riveted on the top independently from the denominator The review on the numerator echo Judah one of the end and the root of the one of a in a good U minus one of the end square and the root of the inning culture one that I always say we can can sound up and with the square here And then we have left good the limit under minus one over and and goes to infinity. So again, the coaches around here

In this question. We need to find a limit off the and about Joe over and and this to infinity in noticed them. We can run this limit into the form off the and off. One of anything about you outside and just infinity. And then we can push the limit inside. About you There again, huh? Why would you sign? And so we have a limit. The power one of and we can run this time with judo good and off. And we know this limit inside here in it somewhere. No limit. Go to one. Never again. The one square and go to one.

In a question when even the limit off one over and out, one over them and just to infinity. And that you do this limit here, every defied near variable pay equal to one over n And then we see that as and just you infinity began to k ing us to zero. Therefore, we can rewrite this limit in terms of the K Now bust you zero k power. Okay. And we see this is where no limit and where you go to one here.

Find a limit off One plus two over and our end and us to infinity energy. No discussion. Greek condom. That exponential X is the fight as the limit after one glass X over and and bound and on investing infinity. And isn't this formula here? We'll see that we can identify the junior as the X. Therefore, we should Can this limit it? Could your agent about you?


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