Radical Sum Ratio?
n → ∞ lim n n 1 + 2 + ⋯ + n − 1 = ?
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1 solution
i used l hopital's rule and got 0. What did i do wrong?
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Hint: Apply Lhopital's rule to
lim n 2 1 + 2 + 3 + … + n
What do you get?
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Hi why did you use Lhopital's rule on that function instead of the one stated in the problem? I used LHopitals rule on the function given in the problem.
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@Ashish Sacheti – The example that I gave is an easier one for you to spot your mistake.
At it's heart, the mistake that you made is the same.
Numerical solution via XPLORE:
sum(sqrt(n),n=1 to 1000000)/1000000/1000
ans2 = 0.666667