Hey there.
I'm wondering if anyone here will be able to assist with the following issues:
1. I'm currently working on questions asking me to:

 A sequence is then given such as
I'm curious as to what type of questions these are, they are listed under "Order of magnitude" in my notes but searching for this returns no useful resources.
2. MacLaurin Series
Lastly, I'm struggling in creating the MacLaurin Series for the function:
I have tried differentiating but this becomes quite difficult after the third derivative or so. I am guessing there is another method to solve this?
Any help concerning either of these issues would be greatly appreciated.
Thank you.