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Math Help - Use induction on n to prove the Bernoulli's inequality:

  1. #1
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    Use induction on n to prove the Bernoulli's inequality:

    For any x > -1 and n e N, (1 + x )^n >= 1 + nx
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  2. #2
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    Quote Originally Posted by treetheta View Post
    For any x > -1 and n e N, (1 + x )^n >= 1 + nx
    What do you want?
    This is one of the most basic problems.
    Do you know how to do proofs by induction?
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  3. #3
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    im not sure if i did it right/ on the right track

    (1 + x)^k >= 1 + kx assume that is true for k e n

    we need to prove for k+1

    (1 + x)^(k+1) >= 1 + (k+1)x
    ((1+x)^k)*(1+k) >= wwat...

    edit: nvm i see what to do now.
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