Solve this limit?

How do you solve:

lim_(x->2)= sqrt((x^2+5)/(x-1)

1 Answer
Mar 21, 2018

lim_(x->2) sqrt((x^2+5)/(x-1)) = 3

Explanation:

The function is continuous in x=2, so:

lim_(x->2) sqrt((x^2+5)/(x-1)) = sqrt((2^2+5)/(2-1)) = sqrt((4+5)/1) = 3