Q1)Find, in its simplest form, the coefficient of in the expansion, in ascending powers of , of
Q2) Expand as a series of ascending powers of up to and including the term in , Simplify the coefficients.
I got the above part right and derived at the answer of
However, its the following part that i dont get
In The expansion of , where is a constant, the coefficient of is zero. By writing as , or otherwise, find the value of k.
Any help is appreciated ^^
But do ya know how to do the top one too? :/
Use the "generalized binomial theorem"
Where, for r not a positive integer,
With r not a positive integer, r- i+ 1 is never equal to 0 so this is an infinite series.