Question

How do you find the limit of `(1)/(x-2)` x as it approaches 2 from the right?

Answer 1

`+oo`

Explanation:

Let `epsilon in R^+, epsilon->0`

`lim_(x->2+epsilon) 1/(x-2) = lim_(epsilon->0) 1/(2+epsilon-2) = lim_(epsilon->0)1/epsilon=+oo`