how do i find the coefficient of x^(-8)
in the expansion of (x-1/x)^6 times (x+1/x)^8
when im asked to find the greatest coefficient eg. (1-2x)^9 am i supposed to exclude the negative when im trying to find k from T(k+1)/T(k) >1
since the greatest coefficient is the number largest in magnitude how do i know if there r no 2 greatest coefficient with different sign eg. -80 and 80
Hey Katherine! For your second question, I would look at it like this. If I had the question:
That is extremely ambiguous, and I think it is unlikely to be asked in that form. Much more likely is:
As you say, without specifying the magnitude, you really aren't sure whether the question wants the number furthest from zero on the number line (greatest magnitude), or the number furthest to the right (greatest in the algebraic sense).
The answer to the question above would, by the way, be 5376! I hope this helps a little, sorry if I misinterpreted the question