Prove that for all positive integers n, 1 3 2n – 1 X:. 2n V3n HINT: You will find it difficult (likely impossible) to prove this directly. Consider proving a slightly stronger statement by making a...

Extracted text: Prove that for all positive integers n, 1 3 2n – 1 X:. 2n V3n HINT: You will find it difficult (likely impossible) to prove this directly. Consider proving a slightly stronger statement by making a small change to the expression inside the square root. Then, re- member to use what you prove to conclude the inequality in this question.