(Steps Shown) Suppose that x_n is bounded. Prove that (x_n)/(n)^k→ 0, as n→ ∞ , for all k ∈
Question: Suppose that \(\left\{ {{x}_{n}} \right\}\) is bounded. Prove that \(\frac{{{x}_{n}}}{{{n}^{k}}}\to 0\), as \(n\to \infty \), for all \(k\in N\).
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(See Solution) (a) Suppose that x_n and y_n converge to the same
(See Steps) Suppose that, x_n≥ 0 and x_n→ x, as n approaches
(Steps Shown) In the statement of the nested intervals property,
![[See] Show that that NIP might not](/images/solutions/MC-solution-library-62819.jpg "[See] Show that that NIP might not hold if")
[See] Show that that NIP might not hold if "bounded’ is
(Steps Shown) Prove than any real sequence x_n that satisfies
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