Level:
Project ID:
2010010306
Source Problem:
Accepted:
0
Clonable:
1
Easy:
0
Which of following statements about the sequence \( \left( \frac{n-2}{n+1}\right)^{\infty}_{n=1} \) is true?
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(Help: A sequence is bounded below if all its terms are greater than or equal to a real number \(L\), which is called the lower bound of the sequence. Similarly, a sequence is bounded above if all its terms are less than or equal to a real number \(U\), which is called the upper bound of the sequence.)
one of lower bounds is \(-\frac12\), one of upper bounds is \(1\)
one of lower bounds is \(-\frac12\), upper bound does not exist
lower bound does not exist, one of upper bounds is \(1\)
there exists neither lower bound nor upper bound