What is the Method for Determining Infinity Limits in a Rational Function?

  • Thread starter Thread starter camboguy
  • Start date Start date
  • Tags Tags
    Infinity Limits
Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
1 reply · 4K views
camboguy
Messages
36
Reaction score
0
ok I am confused when x->negative infinity or positive infinity.

for example

lim (5x^3+27)/(20x^2 + 10x + 9)
x-> negative infinty

heres what i think, i want to know if i have the right idea or not.

- so since the top exponent is larger then the denominator the lim DNE and so i plugged in a negative value to test if it is negative or positive infinity so i put in -1 just to test, the thing is i only plunged it into the (5x^3)/(20x^2); I am thinking this is what i do, and then i get a negative value so i am assuming it is negative infinity. that is what the answer is so posed to be, but did i do it how its so posed to be done?
 
Physics news on Phys.org