Topics

Find the sup and inf of the set A = {-1, -2, -3,...}


A) sup = -1; inf \(\in\)A

B) sup \(\in\)A; inf = -1

C) sup = -1; inf = -2

D) none of these

Correct Answer:
A) sup = -1; inf \(\in\)A

Description for Correct answer:
sup = -1; inf\(\notin\) A

Part of solved Real Analysis questions and answers : >> Elementary Mathematics >> Real Analysis




Comments
No comments available




Similar Questions
1). Find thegvalues of x which satisfy the inequality \(|4-5x|\le 6\)
A). numbers in the open interval \(\Large \left(\frac{-2}{5},2\right) \)
B). numbers in the closed interval \(\Large \left(\frac{-2}{5},2\right) \)
C). numbers in the closed interval [0, 1]
D). none of these
-- View Answer
2). Find the values of x which satisfy inequality |3x-2| > 5
A). x lies inside the interval \( \left(-1,\frac{7}{3}\right) \)
B). x lies outside the interval \( \left(-1,\frac{7}{3}\right) \)
C). x lies inside the interval \( \left(+1,\frac{-7}{3}\right) \)
D). none of these
-- View Answer
3). Find the lub and glb of sets \(\Large \{ 1-\frac{1}{n};\ n\in N \}\)
A). lub = 1; glb = 0
B). lub = 0; glb = 1
C). lub = -1; glb = 1
D). none of these
-- View Answer
4). \(\Large \{ \frac{1}{5n}:n\in Z| n\ne 0 \}\)
A). lub \(\Large =\frac{5}{2}\); glb\(\Large =\frac{3}{2}\)
B). lub \(\Large =\frac{-1}{5}\); glb\(\Large =\frac{3}{5}\)
C). lub \(\Large =\frac{1}{5}\); glb\(\Large =\frac{-1}{5}\)
D). none of these
-- View Answer
5). \(\Large \{ \frac{3n+2}{2n+1}n\in N \}\)
A). lub \(\Large =\frac{3}{5}\); glb\(\Large =\frac{3}{2}\)
B). lub \(\Large =\frac{5}{3}\); glb\(\Large =\frac{3}{2}\)
C). lub \(\Large =\frac{-1}{3}\); glb\(\Large =\frac{3}{2}\)
D). none of these
-- View Answer


6). \(\Large \{ x:x=1+\frac{1}{n};n\in N\}\)
A). lub = 1; glb = 0
B). lub = 2 ; glb = 1
C). lub = 3; glb = 0
D). none of these
-- View Answer
7). {\( x : -5 < x < 3 \)}
A). lub = -5; glb = 3
B). lub = 3; glb = -5
C). lub = 0; glb = -5
D). none of these
-- View Answer
8). If \(a_{x}=1+(-1)^{n}\forall\ n\in N\) then find \(A_{n}\) and \(\overline{A_{n}}\)
A). 2 and 0
B). 0 and 2
C). 1 and 2
D). none of these
-- View Answer
9). If \(a_{n}=n,\ x\in N\), then find \(\underline{A_{n}}\) and \(\overline{A_{n}}\)
A). \(0\) and \(\infty\)
B). \(\infty\) and \(-\infty\)
C). \(\triangle \) and \(\infty\)
D). none of these
-- View Answer
10). If \(\Large a_{n}=\frac{(-1)^{n}}{n^{2}}n\in N\), then find \(\underline{\lim}\ a_{n}\)
A). \(\infty\)
B). -1
C). 0
D). none of these
-- View Answer
Home About Us Terms and Conditions Privacy Policy Contact us