Question

Evaluate the following limit:
lim x-> 2^(-) f(x) = x/x-2

Answer 1

you can either say \(-\infty\) or "no limit" depending on who is teaching the class

Answer 2

That's what I got aswell, but apparently the answer is positive infinity

Answer 3

as x goes to two from below, the numerator goes to 2 and the denominator goes to zero through negative numbers so it is \(-\infty\)

Answer 4

no, the answer is not positive infinity
it would be for \(\lim_{x\to 2^+}\)

Answer 5

you can look at the graph and see that as x approaches two from the left you go to minus infinity
http://www.wolframalpha.com/input/?i=x%2F%28x-2%29

Answer 6

Okay, I guess I'll just go and recheck with my teacher, because i got points cut off in my test because of the neg sign. Thank you!

Answer 7

yw