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

Question

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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!

anonymous · Answer

yw