Yep. That's it. Good job. It is easy if you spot it. Those are the fun ones.
For the first one
First I let
I then made the sub, let
so as
So we have that
So by subbing we have
Now there are a few ways this could have been done, but the easiest is the Root/Ratio laws test trick
which then by termwise division gives
So
For our second limit
multiplying by the conjugate gives
Now by breaking it up we get
now seeing that
Grouping we get
So then we have that
Hi,
I've got a question for
Assuming that x tends to 0 from the right (>0), , while .
So we can neglect 3x with regard to
Therefore, the limit is
Also, I think you should be patient, we're not all in the same GMT and we're not as available as you are. So if no one answers within 2 hours, it's not a catastrophe...
Haha thanks for pointing that out, I fixed that, if you look back I just literally stopped. I went and made a sandwich and when I came back I started on the second and didnt finish the first
As for thse second one
Yes it isSo if no one answers within 2 hours, it's not a catastrophe...