Question:(adsbygoogle = window.adsbygoogle || []).push({});

(I've got a few like this, so I'd like to know if I am doing them correctly.)

Compute the sup, inf, limsup, liminf, and all the limit points of the following sequence [itex]x_1, x_2,...[/itex] where

[tex]x_n = 1/n + (-1)^n[/tex]

What I did was write down the first few terms to get an idea of the behavior of the sequence.

From this I found that the limit points were 1 and -1

limsup = 1

liminf = -1

sup = 1.5 (I think)

inf = 0 (I'm not sure)

I'm not so sure about the inf because I don't think inf = liminf is allowed, but in this case the lower endpoint and the liminf both equal -1, I think...

Did I determined these values by the correct method, or is there some formal way of which I am unaware to 'compute' these things?

Also, are my values correct?

thanks-a-bunch

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Compute sup,inf, and more

**Physics Forums | Science Articles, Homework Help, Discussion**