[Solution Library] Prove using induction that (1+x)^n>1+nx, for n = 2, 3, 4, … if x>-1, x≠
Question: Prove using induction that \({{\left( 1+x \right)}^{n}}>1+nx\), for n = 2, 3, 4, … if \(x>-1,\,\,\,x\ne 0\).
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