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Math Help - infimum and minimum

  1. #1
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    infimum and minimum

    For each subset of R, give its infimum and and the minimum of each set, if they exist. Otherwise write "none"
    a) {1,3}
    b) {pi, 3}
    c) [0,4]
    d) (0,4)
    e) {1/n: n is an element of N}
    f) {1 - 1/n: n is an element of N}
    g) {n/(n+1): n is an element of N}
    h) {(-1)^n(1+1/n): n is an element of N}
    i) {n + (-1)^n/n: n is an element of n}
    j) (-infinity, 4)
    m) {r is an element of Q: r<5}
    n) {r is an element of Q: r^2<=5}

    thanks for everyones help!
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by luckyc1423 View Post
    For each subset of R, give its infimum and and the minimum of each set, if they exist. Otherwise write "none"
    a) {1,3}
    b) {pi, 3}
    c) [0,4]
    d) (0,4)
    e) {1/n: n is an element of N}
    f) {1 - 1/n: n is an element of N}
    g) {n/(n+1): n is an element of N}
    h) {(-1)^n(1+1/n): n is an element of N}
    i) {n + (-1)^n/n: n is an element of n}
    j) (-infinity, 4)
    m) {r is an element of Q: r<5}
    n) {r is an element of Q: r^2<=5}

    thanks for everyones help!
    a) infimum=minimum=1
    b) infimum=minimum=3
    c) infimum=minimum=0
    d) infimum=0 minimum= none
    e) infimum=0 minimum= none
    f) infimum=minimum=0
    g) infimum=minimum=1/2
    h) infimum=minimum= -2
    i) infimum=minimum=0
    j) infimum=minimum= none
    m) infimum=minimum= none
    n) infimum= -sqrt(5) minimum= none
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  3. #3
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    Ur really good at this stuff, how did you get so good just by practice? I practice all the time on this material and it never clicks...it seems like every problem is different and once I understand one problem im confused on the next.
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by luckyc1423 View Post
    Ur really good at this stuff, how did you get so good just by practice? I practice all the time on this material and it never clicks...it seems like every problem is different and once I understand one problem im confused on the next.
    well, i dont really practice stuff like this a lot. i just go based on the definitions. make sure you understand what the definitions mean and how to apply them
    Last edited by Jhevon; June 26th 2008 at 10:15 PM.
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