Similar to 1.6.24:


1.11 Find the limit.


limx-->+infinity [sqrt (x^2 + 5x) - sqrt (x^2 + 3x)]


Hint: Begin by using
sqrt a - sqrt b = (sqrt a - sqrt b) (sqrt a + sqrt b)/(sqrt a + sqrt b), and
(sqrt a - sqrt b) (sqrt a + sqrt b)/(sqrt a + sqrt b) = (a - b)/(sqrt a + sqrt b).


problem, hint, and solution


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