Asked by June
Compute each of the following limits if they exist.
lim 3x^(2)-x-2
x->2
lim (x^(2)+x-6)/(x-2)
x->2
lim 3x^(2)-x-2
x->2
lim (x^(2)+x-6)/(x-2)
x->2
Answers
Answered by
Steve
#1: easy, since polynomials are continuous. f(2) = 8, which is the limit
#2:
x^2+x-6 = (x+3)(x-2)
so, f(x) = x+3 everywhere except at x=2. There it is undefined, but the limit is 5 from both sides.
#2:
x^2+x-6 = (x+3)(x-2)
so, f(x) = x+3 everywhere except at x=2. There it is undefined, but the limit is 5 from both sides.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.