hpfan101
  • hpfan101
What is the limit as x approaches 0.5 from the left of the function (2x-1)/(|2x^3 - x^2|)? For some reason, my textbook says the answer is -4, but I keep on getting "does not exist".
Calculus1
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SOLVED
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katieb
  • katieb
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hpfan101
  • hpfan101
\[\lim_{x \rightarrow 0.5^-}\frac{ (2x-1) }{ \left| 2x^3-x^2 \right| }\]
welshfella
  • welshfella
The limit is different as x approaches 0.5 from the right
welshfella
  • welshfella
this limit = 4

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welshfella
  • welshfella
so the limit from 'anywhere' does not exist
welshfella
  • welshfella
- I guess that's not the proper term to use but thats the reason you are getting 'does not exist'.
hpfan101
  • hpfan101
Ok, but the question asks from the left. I know if the limit was approaching -0.5 then the answer would be -4. But as x approaches 0.5 it's not getting the same answer as in the book.
hpfan101
  • hpfan101
I just don't see how it's -4 from when x approaches 0.5 from the left.
hpfan101
  • hpfan101
Unless the textbook meant to ask about x approaching -0.5?
welshfella
  • welshfella
form the left means its approaching from < 0.5
welshfella
  • welshfella
plug in a value of say 0.499 and see what result you get
hpfan101
  • hpfan101
Oh, ok. Now I see what I was supposed to do! Thanks!
hpfan101
  • hpfan101
I ended up getting a value close to -4.
welshfella
  • welshfella
yes
welshfella
  • welshfella
yw

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