Inequality with powers and roots

If $n$ be a positive integer greater than $2$ , shew that $2^{n} > 1 + n oo t 2^{n} - 1$ .

~15 minProof · checked by AIInequalitiesMathematical Induction

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIX. Inequalities, Examples XIX.a, No. 19

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