Prove The Value Is 0???
lim . x-> oo .
√(1+n^2) -√(1+n) / [√(1+n^3)-√(1+n)]
1 Answer
Jul 2, 2018
When n goes to infinity, you neglect everything except the highest power of n.
The numerator becomes n, and the denominator becomes n^3/2.
The ratio has n^-1/2 as limit, It thus tends to zero as n goes to infinity.
