Question

Find the limit of the function algebraically.

limit as x->-3 of (x^2-9)/(x^3+3)

Answer 1

See what happens when you do direct substitution. Replace every copy of x in `(x^2-9)/(x^3+3)` with -3 and then simplify. What do you get?

Answer 2

0/-27

Answer 3

it says algebraically tho

Answer 4

Which turns into 0. So the final answer is 0.

Answer 5

yes that was done algebraically. There's nothing to factor (except for the numerator but there's no point in doing so because the denominator isn't factorable)

Answer 6

@jim_thompson5910

Answer 7

are you sure the expression is `(x^2-9)/(x^3+3)` ?

Answer 8

limit as x approaches negative three of quantity x squared minus nine divided by quantity x cubed plus three.

Answer 9

so the only thing you can do really is plug in x = -3 which is an algebraic move