Question

Could someone take me step by step through a limit problem?

Answer 1

(x^3-4x^2+x+6)/x+1

Answer 2

limit as x -> ??

Answer 3

-1

Answer 4

as x approaches -1

Answer 5

well, do you know calculus?

Answer 6

Today is day one, I understand that I need to remove the denominator, but I am unsure how to factor out an X+1 from the numerator.

Answer 7

ok just checking cause with derivatives there is another way of taking this limit.

however, you can use polynomial division or synthetic division would work here

Answer 8

I got an acceptable answer with long division, but I need to touch up on my synthetic. How did you identify whether or not to factor or divide?

Answer 9

in this case since the larger degree polynomial is on top, always divide
of course factor whenever possible so things may cancel

Answer 10

Thank you for your help

Answer 11

your welcome