Solve this limit?

Question

How do you solve:

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

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Answer 1 · 2018-03-21T01:09:20

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

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#