Taylor Expansion textbook question help

[MathewG]

I'm quite new to Taylor expansions and have been trying to work through my textbook and found this problem.


I understand that you need to take differences but the values I got out of the Taylor expansion were definitely not correct. I'm unsure where to start really but would appreciate some help working through this problem.

 

[Deleted member 4993]

I'm quite new to Taylor expansions and have been trying to work through my textbook and found this problem.
View attachment 24654

I understand that you need to take differences but the values I got out of the Taylor expansion were definitely not correct. I'm unsure where to start really but would appreciate some help working through this problem.

Please share your work, so that we know exactly where your "work" is going astray !!

 

[MathewG]

This is my current point, I'm not 100% sure its correct but I'm not too sure really what to do next to get it to the end point.