Find the limit of the function algebraically.

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

Question

Find the limit of the function algebraically. 

limit as x->-3 of (x^2-9)/(x^3+3)

jim_thompson5910 · Answer

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?

anonymous · Answer

0/-27

anonymous · Answer

it says algebraically tho

jim_thompson5910 · Answer

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

jim_thompson5910 · Answer

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)

anonymous · Answer

@jim_thompson5910

jim_thompson5910 · Answer

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

anonymous · Answer

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

jim_thompson5910 · Answer

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