Which of them are bounded? a)\(\displaystyle{\frac{{{n}}}{{{14}{n}+{1}}}}\) b)\(\displaystyle{13}{n}\) c)\(\displaystyle{10}^{{n}}\) d)

CavioveLori659

CavioveLori659

Answered question

2022-03-11

Which of them are bounded?
a)n14n+1
b)13n
c)10n
d)(11)n

Answer & Explanation

suboctavaja5

suboctavaja5

Beginner2022-03-12Added 6 answers

a)n14n+1
=114+1n
limnxn=limn114+1n=114
It is convergent, so it is bounded
b)13n
xn
It is not bounded
c)10n
xn
It is not bounded
d)(11)n
x2n as n
x2n+1 as n
Thus, it is not bounded.

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