Question

lim x→±∞ $( sqrt{x+3} - sqrt{x} )$

Answer 1

task/25511333
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Lim x→∞  (√(x+3) -√x) =Lim x→±∞(  (√(x+3) -√x) (√(x+3) +√x) / (√(x+3) +√x)  ) =
Lim x→∞( 3 / (√(x+3) +√x)  ) =  0 .
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