(8-2*(x-3))+(1/2*(x-3)^2-1/8*(x-3)^3)+. Solution it is a line that is too long w
ID: 3192988 • Letter: #
Question
(8-2*(x-3))+(1/2*(x-3)^2-1/8*(x-3)^3)+.Explanation / Answer
it is a line that is too long without any spaces in it. If you add some spaces in it then it will print out without truncating. It only does that if you have the word "series" in the title :) just kidding Each time we go to the next term, the factor changes how? 8 -> 1/2 it divided by 16 (also it switches sign) 1/2 -> 1/8 it divided by 4 (also it switches sign) try to find a pattern that may vary in the first few terms, but settles down at some point to a simple pattern and continues... you have an (x-3) and the power increases by 1 so it's some kind of power series in (x-3) It's possible the coefficients have a power term AND a factorial term so what if you assume the 2nd one has been divided by 2, the third one by 6, the fourth one by 24 etc. and then see what is going on with them after that effect has been removed I was thinking it is a sin or cos at first but it doesn't seem to have that pattern, I can't tell too well by looking at just a few. Consider geometric, exponential and I don't know what else, hmm. If you are looking at an advanced problem there are things like Bessel functions, and other special functions. Oh right, don't forget it can be a binomial expansion like (something + (x-3))^n
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.