Question

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".

Answer 1

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

Answer 2

The limit is different as x approaches 0.5 from the right

Answer 3

this limit = 4

Answer 4

so the limit from 'anywhere' does not exist

Answer 5

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

Answer 6

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.

Answer 7

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

Answer 8

Unless the textbook meant to ask about x approaching -0.5?

Answer 9

form the left means its approaching from < 0.5

Answer 10

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

Answer 11

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

Answer 12

I ended up getting a value close to -4.

Answer 13

yes

Answer 14

yw