Question

lim x- >infinity of : ((2x-5)^5) / (7x^2+2x-3)(x^3-6x) ??? common factor, or just distribute??

Answer 1

no need to distribute...although that will work.
Determine the highest degree in the numerator and the highest degree in the denominator.

Answer 2

Note that they are both 5

Answer 3

therefore the limit will be the coefficients of the leading terms.

Answer 4

2^5/7 or 32/7

Answer 5

you are only concerned with the leading term.
leading term of the numerator is 32x^5
leading term of the denominator is 7x^5
Therefore the limit is the coefficient 32/7.

Answer 6

ok let me try...
Correct!!! thanks men!!>

Answer 7

sure.