UnknownRandom
  • UnknownRandom
Can somebody check these limits?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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UnknownRandom
  • UnknownRandom
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UnknownRandom
  • UnknownRandom
UnknownRandom
  • UnknownRandom
I am not sure where I am messing up at.

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anonymous
  • anonymous
If the one-sided limit from either side is different, then the limit from both sides simultaneously cannot exist. \[\large\lim_{x\to c^-}f(x)\neq\lim_{x\to c^+}f(x)~~\implies~~\lim_{x\to c}f(x)~\text{doesn't exist}\]
UnknownRandom
  • UnknownRandom
So problem number 3 does not exist. Did I mess up anywhere else?
anonymous
  • anonymous
The fourth one is also incorrect. The function is indeed approaching some value from both sides. The fact that the function itself isn't defined for \(x=-3\) (indicated by the hole) doesn't mean the limit doesn't exist.
UnknownRandom
  • UnknownRandom
So how do you find that limit?
anonymous
  • anonymous
A quick way is to just figure out the \(y\) coordinate of the hole.
jim_thompson5910
  • jim_thompson5910
#8 and #10 are also incorrect
DanJS
  • DanJS
properties, and things, to know
UnknownRandom
  • UnknownRandom
Alright. I originally had most of those right, but I started second guessing myself. Thanks for the help y'all!
anonymous
  • anonymous
yw

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