Recent content by savtaylor2010

  1. S

    Proof by induction: 5^n + 9 < 6^n for all integers n≥2

    Okay. That makes sense now. I guess it takes some practice for it to become more clear. I see now that you manipulated one side of the inequality, then related it back to it's original p(n+1) state to prove that it is in fact less than the other side of the inequality.
  2. S

    Proof by induction: 5^n + 9 < 6^n for all integers n≥2

    I don't really understand the hint that you gave. Could you elaborate a little more on that? I just have a hard time understanding the structure of inequality inductions.
  3. S

    Proof by induction: 5^n + 9 < 6^n for all integers n≥2

    Homework Statement Prove the statement by mathematical induction: 5n + 9 < 6n for all integers n≥2 Homework Equations .. The Attempt at a Solution Proof: let P(n) be the statement, 5n + 9 < 6n P(2) is true because, 34<36. Suppose that P(n) is true. P(n+1) would be...
  4. S

    Proving the Limit of Zero Using Epsilon-Delta Method

    Thank you guys for all of your help! I know I am really late responding back, but all of the feedback really helped!
  5. S

    Proving the Limit of Zero Using Epsilon-Delta Method

    Epsilon-Delta proof of zero?? Homework Statement Write an epsilon delta proof for the limx\rightarrow2 0 = 0. The Attempt at a Solution This is for my discrete math class. I know how to do limit proofs with a variable, like x or x2, but it seems that this is obvious that the limit...