Thread: Taylor series analysis question

Hi, could anyone help me with part b of this question, part a I have completed, however I seem to be drawing a blank on the second part

Originally Posted by LHS

Hi, could anyone help me with part b of this question, part a I have completed, however I seem to be drawing a blank on the second part

Hint: Just use the definition of the derivative to get



Now use the above to find the forth derivative then you can probe that

for all

Then use this relationship to find the Taylor series for this function.

Just FYI this is the function

Ah thank you, probably should have seen that, but that's what ten hours and about a gram of caffeine do to you. Cheers