Question

find the limit if it exists:
lim x->-1 (x^3+1)/(x+1). i think there is no limit for this problem. i can't factor out the numerator

Answer 1

or am i allowed to just plug in the -1 and solve?

Answer 2

even so i get a 0 for the denom making it have no limit?

Answer 3

there is a limit

Answer 4

factor x^3 +1

Answer 5

it u plug in x=-1 the expression = 0/0 which is indeterminate

Answer 6

\(\huge a^3+b^3=(a+b)(a^2-ab+b^2)\)

Answer 7

(x+1)(x2-x+1) ?

Answer 8

yup, now cancel x+1 from numerator and denominator

Answer 9

(-1)^2-(-1)+1?

Answer 10

final answer of 1?

Answer 11

3

Answer 12

oh yes, sorry, forgot to change the signs

Answer 13

no matter

Answer 14

so u got 3 ?

Answer 15

yep

Answer 16

\(\large \frak{\color{red}{WELCOME \quad TO \quad OPENSTUDY \quad:D}}\)

Answer 17

lol

Answer 18

this is your first day here, right ?
so a warm welcome :)

Answer 19

:D hey i got a question for another problem. need to double check it. starting a new one!

Answer 20

sure , go ahead :)