Question

could someone help me to solve 'g' of exercise 3

Answer 1

\[\frac{ x ^{2} \times \left( 1 + \frac{ x }{ x ^{2} } + \frac{ 7 }{ x ^{2} }\right) }{ x ^{4} \times \left( 1 - \frac{ 2x ^{3} }{ x ^{4} } + \frac{ 7 }{ x ^{4} } \right) }\]

This is the first step I would do. Now deal with the "x" in fron of the parenthesi, then deal with the "x" of fractions - the ones above the division line (wha t do you call them in english? :D) will dissapear. And then you just fill in the infinities... +/-.

This trick is my favourite.

Answer 2

numerator @Mark_CZE

Answer 3

Any reason why the usual rule of 0 wouldn't apply? (degree of denominator is less than degree of numerator, both polynomials)

Seems similar to others in same section...