Question

evaluate the limit using l hospitals rule if needed

Answer 1

\[\lim_{x \rightarrow \infty} \frac{5x^2+4x-8}{9x^2+9}\]

Answer 2

divide everything by x^2 in both the numerator and denominator

Answer 3

you'll be left with a rational answer + a series of zeros

Answer 4

hmm

Answer 5

that was clever heh

Answer 6

GWAR! Wolfram makes nos ense :( http://www.wolframalpha.com/input/?i=limit+x+to+infinity+of+%285x%5E2%2B4x-8%29%2F%289x%5E2%2B9%29

Answer 7

@KonradZuse \[\large \frac{5 + \frac 4 x - \frac{8}{x^2}}{9 + \frac{9}{x^2}}\]

Answer 8

that's dividing by x^2

Answer 9

then what do we do from htere?

Answer 10

heh substitute infinity ;)

Answer 11

sorry my head is ab out to explode I cannot think at all...

Answer 12

take x to infinity and beyond

[note what happens to the fractions like 4/x]

Answer 13

remember \[\frac{a}{\infty} = 0\]

Answer 14

yuh

Answer 15

oic now :P

Answer 16

ty