1.

b) Rationalize this expression to find polynomials p(x), q(x) and r(x) such that P(C) 1 +41-1 -51 = V4(I) + vr(I) Answer: [p(x), q(I), (x)] =c) Simplify the expression from part (b) so that the numerator is a constant. Use the fact that = = 1 and present your answer in the form P( I) C Vq(I) + 7(I) s( I) + +( I) where O is a constant and s(x) and t(x) don't diverge to oo as I increases. Answer: [C, s(x), t(@)] =\fKnowing that lim = 0 for o > 0, we want to evaluate the following limit. lim 2 + 4x - I 2 -5r I-100 This is an indeterminate form of the type 0 0/0 0 0 0 10 0 0 x 00 () 00/00 0) 00-00