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.
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(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.
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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) (Show Source):
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