Find the limit of f(x)=1/(x-1) as approaches 1

Question

think inifnite limit

Answer 1

with a hint like that, what troubles you? The only wrinkle is that
(x-1) > 0 for x > 1
(x-1) < 0 for x < 1

to check your work, enter your function at wolframalpha.com, and it will show the graph.