The forum discussion centers on the calculation of the Maclaurin series for the function tan(e^x - 1). The user initially calculated the coefficient of x^4 as 1/3, but the correct answer is 13/24. The mistake was identified as a failure to apply the product rule correctly when differentiating, specifically in the third derivative. After further attempts, the user realized they had omitted a necessary term in their differentiation process, leading to an incorrect coefficient.
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delsoo said:Homework Statement
for this, my coefficient of x^4 which is 8/4! = 1/3 .. but the ans should be 13/24... can you tell me which part contain mistake?
https://i.imgur.com/05NnrdM.jpg
https://i.imgur.com/28Q9o51.jpg
Homework Equations
The Attempt at a Solution
delsoo said:i redo the question, now my coeffiecient of x becomes only 11 but not 13, now which part is wrong?
https://www.flickr.com/photos/123101228@N03/13809331763/
delsoo said:sorry i really can't find it, i have 2 [ ... ] for d3y/dx3 , and i have 4 [...] for d4y/dx4 , can you be more specifiec telling me which part is wrong? thanks!
Dick said:That's the problem. Yes, you should have four [...]'s for d4y/dx4. In the image you sent, you don't have four. You have three. You are missing one.