Question

Use properties of limits to find the indicated limit. It may be necessary to rewrite an expression before limit properties can be applied. will post pic

Answer 1

this is limit

Answer 2

not sure how to factor out numerator

Answer 3

x approaches 1

Answer 4

yes that is the limit but if you use that the denominator becomes 0, undefined so i have to factor out numerator. how do i do that?

Answer 5

if i get the proper answer ill show hold up lol

Answer 6

u tried synthetic division

Answer 7

Yes, synthetic division will factor it nicely.

Answer 8

or just divide

Answer 9

use synthetic division with 1
x=1 will come out as factor
you will be left with quadratic polynomial (x^2+6x+9)
so
x^3+5x^2+3x-9=(x-1)(x+3)^2

Answer 10

When you do the synthetic division, the x-1 terms will cancel out so you get a simple limit of a quadratic equation.

Answer 11

you know it is \(x^3+5x^2+3x-9)=(x-1)(ax^2+bx+c)\) so it does not take a lot of imagination to find \(a=1,c=9\) all you need really is \(b\)

Answer 12

so the answer is A? 16? since