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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Originally Posted by Percent09 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, $\displaystyle a>b>0$ $\displaystyle c>d>0$ Multiply them, $\displaystyle ac>bd>0$ So, $\displaystyle x>1$ $\displaystyle x>1$ .... $\displaystyle x>1$ Multiply them out, $\displaystyle x^n >1$
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