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Find the limit superior and limit inferior of the following sequences_(an) = (c-1"(1+4)...

Question

Find the limit superior and limit inferior of the following sequences_(an) = (c-1"(1+4)

Find the limit superior and limit inferior of the following sequences_ (an) = (c-1"(1+4)



Answers

Find the limit of the following sequences or determine that the limit does not exist. $$\left\{n^{2 / n}\right\}$$

Find limit off the Manasquan on over and investing infinity there. Notice that this limit here will be about it between a Jew. Uh, I wanted to do this. Um, it we know that the minus one about and over. And it would be body between the Julio's minus one over and and one other. And so we see under left and under right here. The limit goes to the seven value Echo. Choose Aero. Therefore, the middle one was in a zone here by the squeezed here, Um, here.

This question Will even their limited form on the secret number forms and military over in about far less one on. Then we need to find a limit under sequence here, Immense that we had to find a limit under in about three over in both for the scorn and just to infinity. And, yeah, the first time we that we're going to do would be we divide everything by we divide by the number three. So if we do so that we should get the limit off the one over N plus one of about three and rest your infinity. And here I send this to infinity. This one goes Teoh is there, Uh And then we have left with the limit under one of the end and goes to infinity. And I would say it's industry Infinity, this one with us to zero from general. Even coaches. There are

In this question here were given the limit off and over. Endless five pounder en and gusty infinity. Yeah, the first time I'm willing to do with me, I was stripped the fraction over, but everyone to do so. I need to have the power minus one outside here. And then Now I can bring the limit in signed, uh, pound minus one. Then we get a coach limit off that and and bless 15 over and will be one blessed five other end now and then about over minus one outside. So we know this limit inside a square. No limit. And it was equal to the A Bao after five, and then we still have the about on the minus one on side. If I was getting now, echo gender one over a above five.

It just goes to find limit off and over a about the and blessed tree about and and goes to infinity there not just time. When and goes to infinity. We had a farm under infinity on the infinity so we can use the Lopatin room here. And then we get on a limit off the one over aged and blessed three and with CS and goes to infinity. We had a farm under one of anybody infinity and eco ju zero here.


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