#help on answer revision
gleaming lotusBOT
runic slate
hello! recently i had to redo a question i got wrong but im not exactly sure where to start or how even to fix it. I don’t need to hand this in, i just wanna understand the logic and what i need to do correctly so i dont mess up later on. Thank you!
delicate mural
assume f(x) = ( 1-x)^-3 = a0 + a1x + a2x^2 + a3x^3 +...........
Differentiate f(x) wrt x , we get f'(x) = -3(1-x)^-4 = a1 + 2a2x + 3a3*x^2 +.......( lets call this eq [1] )
put x = 0, we get f'(x) = -3 = a1
Now differentitate eq[1] again and u get eq[2]
Put x = 0 , you will get value of a2
Now differentiate eq[2] and u get eq[3]
Put x = 0 , you will get value of a3
Keep on going, and subtitue values of a1,a2,a3 ....and u find a pattern of representing this series as well as for finding each term/ coefficeient