SOLUTION: Let f(x) = (9x^2 + 4)/(2x+1)(x-2)^2 (i) Express f(x) in partial fractions. (ii) Show that, when x is sufficiently small for x^3 and higher powers to be neglected, f(x) = 1-x+ 5x.

Algebra ->  Test  -> Lessons -> SOLUTION: Let f(x) = (9x^2 + 4)/(2x+1)(x-2)^2 (i) Express f(x) in partial fractions. (ii) Show that, when x is sufficiently small for x^3 and higher powers to be neglected, f(x) = 1-x+ 5x.      Log On


   



Question 1205607: Let f(x) = (9x^2 + 4)/(2x+1)(x-2)^2
(i) Express f(x) in partial fractions.
(ii) Show that, when x is sufficiently small for x^3 and higher powers to be neglected, f(x) = 1-x+ 5x.

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
That's just like the problem I did yesterday for you. Here it is:

http://www.algebra.com/tutors/students/your-answer.mpl?question=1205608

See if you can follow what I did on that problem.  They are the same principle
except finding the partial fractions is easier, and you'll have only 2 
expressions, instead of three.

Edwin