I'm trying to prove that: (1+x)^-5/2 < 1 Sorry I know it's really easy but I'm just not seeing what to do! Thanks in advance!
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The very easiest thing to do, and always do this first, is give a good try at disproving it, rather than assuming it can be shown. Try x = -0.90 and see what you get for the left-hand side.
Hello, hunkydory19! As given, the statement is not true . . . Prove: . It is necessary that Then we have: . Raise both sides to the power Take reciprocals: .
Thank you so much Soboran that was loads of help! Can I just ask what would happen if it was: (1+x)^-5/2 > 0 because I wouldn't be able to do the reciprocal stage.... thanks again!
Can I just ask what would happen if it was: (1+x)^-5/2 > 0 which is greater than or equal to 0 by definition of ^{1/2}
Last edited by badgerigar; January 10th 2008 at 04:42 PM. Reason: fixed latex
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