SOLUTION: Hello I am completely stuck on this question. I would appreciate any help possible! Also, I can't use L'Hopital's rule on this question. lim x->2, ((sqrtx-sqrt2)/(x-2)) Th

Question 944774: Hello
I am completely stuck on this question. I would appreciate any help possible! Also, I can't use L'Hopital's rule on this question.
lim x->2, ((sqrtx-sqrt2)/(x-2))
Thanks!

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Recognize that the denominator is the difference of two squares.
Use a substitution, and
So then,

So,

and then the limit,

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