anonymous
  • anonymous
find the limit of (x+7)/(x^2 -6x + 9) as x approaches 3. please show all calc involved
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
amistre64
  • amistre64
is 3 a bad value for x?
anonymous
  • anonymous
what do you mean?
amistre64
  • amistre64
what makes a bad fraction?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
when i plug in 3, i get 10/0...thats not good according to my teacheelser but dont know what else to do
amistre64
  • amistre64
right, /0 is a bad fraction so x=3 makes this go bad
amistre64
  • amistre64
can we undo the offending part with algebra?\[\frac{(x+7)}{(x-3)^2}\] prolly not
myininaya
  • myininaya
lol i love your definition of the term bad fraction i like to say discontinuous at such and such but bad fraction is a good term
amistre64
  • amistre64
http://www.wolframalpha.com/input/?i=limit%7Bx+to+3%7D+%28x%2B7%29%2F%28x-3%29%5E2
myininaya
  • myininaya
So anyways since there is no way to force this fraction to be continuous at x=3 then the limit does not exist
amistre64
  • amistre64
inf aint a good answer then is it :)
amistre64
  • amistre64
it aint a real number so ....
myininaya
  • myininaya
does not exist is fine but saying it approaches infinity gives a little more info on that "does not exist" phrase
anonymous
  • anonymous
Infinty and does exists are not same right?
amistre64
  • amistre64
exist means a definitive value; infinity is more a direction than a value i believe
myininaya
  • myininaya
right amistre
anonymous
  • anonymous
This limit exists and it is infinity...
anonymous
  • anonymous
what about x^2-x-20/2x^2-32, as x approaches -4
anonymous
  • anonymous
happy birthday myininaya
myininaya
  • myininaya
infinity is not a number
anonymous
  • anonymous
Right hand limit =left hand limit = infinity
myininaya
  • myininaya
so it does not exist
anonymous
  • anonymous
I know but infinity is not same as undefined.
amistre64
  • amistre64
1 Attachment
myininaya
  • myininaya
infinity is fine to say when both sides are approaching infinity (same for negative infinity) but i feel it is also okay to say it dne since infinity is not a number
anonymous
  • anonymous
amistre whats the screenshot for
anonymous
  • anonymous
but can anyone help with the last question i posted please
myininaya
  • myininaya
hes just saying the question in the window thingy is not the same as the question you asked
anonymous
  • anonymous
For this question I would say that the limit is infinity, but if for the purposes of some questions where only finite limits are applicable then an infinite limit might be considered DNE.
Zarkon
  • Zarkon
I'd probably say infinity too, but with the understanding that the limit really does not exist...infinity is just the direction that the function is going.
anonymous
  • anonymous
Myin, this is interesting: http://math.stackexchange.com/questions/36289/

Looking for something else?

Not the answer you are looking for? Search for more explanations.