MHB Lim x approaches -3 of (x^2+6x+9)/(x-3)

[kendalgenevieve]

Determine the limit, if it exists. If not, explain why it does not exist.

lim x approaches -3 of (x^2+6x+9)/(x-3)

 

[Prove It]

Determine the limit, if it exists. If not, explain why it does not exist.

lim x approaches -3 of (x^2+6x+9)/(x-3)

The top and bottom are both continuous at x = -3 and the denominator isn't 0 there, so what do you think the limit is?

 

[kendalgenevieve]

The top and bottom are both continuous at x = -3 and the denominator isn't 0 there, so what do you think the limit is?

When I solved it I got a 0/-6 so would the limit be just zero?

 

[MarkFL]

When I solved it I got a 0/-6 so would the limit be just zero?

Yes, when the expression evaluates to a finite value, then that is the value of the limit. :)