Mean Value Theorem (Application)

Prove that x^{n}-1>n\left(n-1\right) if n>1,\,0<x<1 or x>1.

Source: Rosenberg, R.L. (1984). Elementary Calculus: Course Notes. Ottawa, Canada: Holt, Rinehart and Winston. (Exercise 3: Question 1(v), p. 15)

Author: ascklee

Dr. Lee teaches at the Wee Kim Wee School of Communication and Information at the Nanyang Technological University in Singapore. He founded The Mathematics Digital Library in 2013.

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