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Calculus/Mean Value Theorem

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Expert: - 11/11/2008


Question
Hi
I am stuck on a particular problem. I know what the mean value theorem is but I have no idea where to start on solving this equation. The problem reads: Use the Mean-Value Theorem to show that ' sq root (1+x)' < 1 + (x/2) for x > 0.
Thank you.

Answer
I found this in the question pool after sending you an answer, so you must have sent it to someone else.

It's not good to send the same question to two people at the same time.  It wastes their time and uses up their daily quota.

Please don't do it again.

Calculus

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Paul Klarreich

Expertise

All topics in first-year calculus including infinite series, max-min and related rate problems. Also trigonometry and complex numbers, theory of equations, exponential and logarithmic functions. I can also try (but not guarantee) to answer questions on Analysis -- sequences, limits, continuity.

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I taught all mathematics subjects from elementary algebra to differential equations at a two-year college in New York City for 25 years.

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(See above.)

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