Question

Find the limit;
lim x->2 from the left (3)/(x-2)

Answer 1

nope, not sure how that will apply to this problem.

Answer 2

I am looking at other similar example and I think the answer to this might be -infinity but how?

Answer 3

\[\lim_{x\rightarrow 2^-}\frac{3}{x-2}\]
If we approach from the left, this implies\[x<2\]Hence \[x-2<0\]Thus we can conclude \[\frac{1}{x-2}<0\]
Therefore,\[\lim_{x\rightarrow 2^-}\frac{3}{x-2}\rightarrow -\infty\]

Answer 4

for these type of limits, the graph can also help
x=2 is a vertical asymptote

From graph you can see that as you approach "x=2" from left the curve goes toward neg infinity