Question

How do you evaluate the limit `(2-x)/(2/x-1)` as x approaches `2`?

Answer 1

`2`

Explanation:

`(2-x)/(2/x-1) = (x(2-x))/(2-x)=x` so

`lim_(x->2)(2-x)/(2/x-1)=lim_(x->2)x=2`