## hpfan101 one year ago 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".

1. hpfan101

$\lim_{x \rightarrow 0.5^-}\frac{ (2x-1) }{ \left| 2x^3-x^2 \right| }$

2. welshfella

The limit is different as x approaches 0.5 from the right

3. welshfella

this limit = 4

4. welshfella

so the limit from 'anywhere' does not exist

5. welshfella

- I guess that's not the proper term to use but thats the reason you are getting 'does not exist'.

6. 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.

7. hpfan101

I just don't see how it's -4 from when x approaches 0.5 from the left.

8. hpfan101

9. welshfella

form the left means its approaching from < 0.5

10. welshfella

plug in a value of say 0.499 and see what result you get

11. hpfan101

Oh, ok. Now I see what I was supposed to do! Thanks!

12. hpfan101

I ended up getting a value close to -4.

13. welshfella

yes

14. welshfella

yw