Hey guys!
I have 3 similar problems, if someone could please show me how to do one of them that would be great!
They all involve finding of , when isn't given.
1.)
Find
2.)
Find
3.) Determine the limit of , where
If someone could show me how to do one of them I'd really appreciate it!!
Thanks,
Jo
All extremely similar,
For the first one we have already proved in earlier threads that is monotonically increasing. So let the limit be L, then
But the negative solution is not possible since is monotonic increasing and .
So
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For the second one, do a similar thing:
First show by induction
Then show its monotonically increasing. Then finally since the limit exists, do the same ol' trick of letting again
Then finally choose the positive solution because
EDIT: I am sooo slow