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Thread: [SOLVED] Real Analysis

  1. #1
    gtapia
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    [SOLVED] Real Analysis

    need help!!
    prove that Lim n→ ∞ 1 / √(n+1) = 0? and please remember that this is not calculus but real An.

    thanks
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by gtapia View Post
    need help!!
    prove that Lim n→ ∞ 1 / √(n+1) = 0? and please remember that this is not calculus but real An.

    thanks
    you need to show that $\displaystyle \left| \frac 1{\sqrt{n + 1}} - 0 \right|< \epsilon$ for $\displaystyle \epsilon > 0$ and $\displaystyle n$ "suitably" large

    what does n have to be larger than for $\displaystyle \frac 1{\sqrt{n + 1}}$ to be less than $\displaystyle \epsilon$?


    of course you would phrase all this to conform to the sequence definition of the limit given in your text...
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