Question #06cb7

1 Answer
mason m
Aug 31, 2017

33

Explanation:

Note that x^2-4=(x+2)(x-2)x2−4=(x+2)(x−2):

lim_(xrarr2^+)(sqrt(x^2-4)+sqrt(x-2))/sqrt(x-2)=lim_(xrarr2^+)(sqrt(x+2)sqrt(x-2)+sqrt(x-2))/sqrt(x-2)

Dividing through by sqrt(x-2):

=lim_(xrarr2^+)sqrt(x+2)+1=sqrt(2+2)+1=3

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