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Math Help - mathematical induction

  1. #1
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    mathematical induction

    Hello, I was wondering if anyone can help

    If x > 1, prove by inducction that x^n > x for every integer n >= 2 . If
    0<x<1, prove that x^n < x for every integer n>= 2.

    Thanks in advance
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  2. #2
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    Quote Originally Posted by Percent09 View Post
    Hello, I was wondering if anyone can help

    If x > 1, prove by inducction that x^n > x for every integer n >= 2 . If
    0<x<1, prove that x^n < x for every integer n>= 2.

    Thanks in advance
    You do not need induction.

    Just use the rule that if,
    a>b>0
    c>d>0

    Multiply them,
    ac>bd>0

    So,
    x>1
    x>1
    ....
    x>1

    Multiply them out,
    x^n >1
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