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# Limits, soo confused! watch

1. We just started the limits of sequences and series today, and i am so confused. How would I go about finding the limit?

*edit*

I know the therom that states

2. limit = lim 1 + lim [-1^n]/n

lim [-1^n]/n

Think about what happens as n gets large... It would oscillate, but think about what happens with a large n at the bottom...

lim [-1^n]/n what does that tend to as n --- > infinity]

3. i still dont get it.
4. Think of
5. ok... do you know how to find the limit of [-1^n]/n?

-1^LARGE NUMBER = either -1 or +1 depending if the large number is even or odd

but -1/LARGE NUMBER and +1/LARGE NUMBER still lead to the same conclusion...
6. so its a limit of 0?
7. Not for the entire thing, no.

limit = 1 + lim [-1^n]/n
8. Yeah just that part, now just add the limts
9. (Original post by nk9230)
We just started the limits of sequences and series today, and i am so confused. How would I go about finding the limit?

*edit*

I know the therom that states

If you want a way that shows the limit of then you could take the absolute value, or you could square it and use the product rule, i.e. which is easier to see that it tends to 0. Then by the product rule and uniqueness of limits must tend to 0, and you can use the sum rule to find the limit of the whole thing.
10. (-1)^n is either -1 or 1

[(-1)^n]/n is either -1/n or 1/n

When n is absolutely huge, -1/n and 1/n are both pretty close to zero.

So: lim 1 + [(-1)^n]/n

= 1 + lim [(-1)^n]/n

= 1 + 0

1 + 0 = ... I'll let you work that one out

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