Question

lim of (x^3-13x+12)/(x^3-14x+15) as x approaches 3 without using L hopital's rule. :( hope you can help me guys.

Answer 1

dude none of them are going to help you

Answer 2

:( maybe you're right. </3

Answer 3

Don't be so pessimistic. Did you try actually dividing those polynomials as far as you can?

Answer 4

you have to divide it so that when you plug x=3 , the result is not 0/0

Answer 5

i still get 0/0 guys

Answer 6

by using L hopital's rule i get 14/13. but the question must be solved w/o using it. :(

Answer 7

usually, there will be a common factor between the denominator and the numerator, but i can't factorize those polynomial

Answer 8

this problem sure is hard. xD

Answer 9

If a polynomial has a root "a", there is a factor (x-a) in it!

Answer 10

i don't get your point bro.

Answer 11

i got the common factor !
it's gonna be -> (x-3)(x^2 + 3x -4) / (x-3)(x^2+3x-5)

Answer 12

you can eliminate x-3, then plug x=3
you'll get -> (9+9-4)/(9+9-5) = 14/13

Answer 13

whoa! thanks din!!!

Answer 14

you're welcome
btw, i got the common factor by using Horner's method

Answer 15

I'm not familiar with it. can you please give some background :D

Answer 16

i'll just google it. :)) thanks din for the info. ;)

Answer 17

:)

Answer 18

lol! it's just synthetic division :))

Answer 19

haha in my school we usually call it horner's method

Answer 20

The denominator and the numerator are both 0 when x = 3, what does that tell you?

Answer 21

it means that the function is in indeterminate form :)

Answer 22

obtaining 0/0 in a function doesn't that it has no limit. :)

Answer 23

what the answer in this question? please. I help me out 😉