Use the Mean Value Theorem to prove that sqrt(1+x) < 1 + x/2 for all x > 0. Generalize this result to the function (1+x)^r, where r < 1 is a positive rational number.

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- Oct 11th 2009, 11:14 AMfriday616mean value theorem
Use the Mean Value Theorem to prove that sqrt(1+x) < 1 + x/2 for all x > 0. Generalize this result to the function (1+x)^r, where r < 1 is a positive rational number.

Thanks! - Oct 11th 2009, 11:40 AMredsoxfan325