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Lebl-Basic-Analysis-I
· Problem 2.2.15
Sequences and Series
Mathematics · facts-about-limits-of-sequences
Problem
Prove
lim
n
→
∞
(
n
2
+
1
)
1
/
n
=
1
\lim_{n\to\infty} (n^2+1)^{1/n} = 1
lim
n
→
∞
(
n
2
+
1
)
1/
n
=
1
.
Related theory
Sequences Convergence Cauchy Sequences Subsequences
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