
You must have meant:
lim (1 + √n)/(1√n) as n >∞
divide top and bottom my √n
= lim (1/√n + 1)/(1/√n  1) as n >∞
Now look at the 1/√n term
as as n >∞ , 1/√n > 0
e.g. let n = 10,000,000 , 1/√10,000,000 = .00031... getting small
So you are left with
lim (0 + 1)/(0  1) as n >∞
= 1posted by Reiny
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