Math Homework: Taylor Series, Remainder Term, Error Approximation, Actual Error

The text book gives the answer but I can't figure out how to find the answer myself, please show steps if possible.
 
The text book gives the answer but I can't figure out how to find the answer myself, please show steps if possible.
Sorry but it is not possible to show you the steps. This is a free math help forum and not a free homework service site. Please read the forum's posting guidelines so you know what you need to include in your next post. For the record if you had read and followed the posting guidelines you would have received help by now.
 
Sorry but it is not possible to show you the steps. This is a free math help forum and not a free homework service site. Please read the forum's posting guidelines so you know what you need to include in your next post. For the record if you had read and followed the posting guidelines you would have received help by now.
I did read the posting guidelines, maybe I misunderstood somewhere, but what did I fail to include?
 
I did read the posting guidelines, maybe I misunderstood somewhere, but what did I fail to include?
You failed to include one single line of relevant and original work. For example:

f'(x) = ? → f'(0) = ? and so on......
 
Here's the answer from the book, my most recent work on the problem which is incomplete and a similar problem I did manage to solve. Sorry if it seemed like I was just trying to use your service to solve my homework, I actually have been working on this problem, I just don't know how to get some of the answers the book has, specifically for part b and part d.
 

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Here's the answer from the book, my most recent work on the problem which is incomplete and a similar problem I did manage to solve. Sorry if it seemed like I was just trying to use your service to solve my homework, I actually have been working on this problem, I just don't know how to get some of the answers the book has, specifically for part b and part d.
Your attachment is too faint for me to decipher.

Please write CLEAN (preferably generous white space between lines), in black ink and DONOT try to conserve paper (go ahead kill some trees but save my eye-sight).
 
I did read the posting guidelines, maybe I misunderstood somewhere, but what did I fail to include?
The posting guidelines ask that you post your work, even if you are sure that it is wrong. The reason why we want to see your work is so we have an idea how you want to solve the problem and we can where you are making any errors.
 
I tried to improve the images the best I could.

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