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Math Help - adjent cone

  1. #1
    AMI
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    adjent cone

    X\subset\mathbb{R}^n,x\in\overline{X},v\in\mathbb{  R}^n so that \lim_{s\to0+}\frac{1}{s}\mathrm{d}(x+sv,X)=0.
    I have to show that \forall s_k\to0+,\exists x_k\to x so that x_k\in X,\forall k and \frac{x_k-x}{s_k}\to v.
    The first line means that v belongs to the "adjent cone" to X at x and there are several equivalent definitions. This implication is the only one I cannot prove.

    Thanks, AMI
    Last edited by AMI; June 8th 2009 at 05:30 AM.
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