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Basic limit question (limit of h as h approach 0)

  1. Jun 5, 2010 #1

    Why is the lim(h->0) of h = 0?

    I'm new to this so I'm probably being thrown by the change in variable? Is it because we assume f is a function of h, f(h) = h which we know is continous from other proofs elsewhere, which gives

    lim(h->0) f(h) = f(0)
    lim(h->0) h = 0

  2. jcsd
  3. Jun 5, 2010 #2
    That's exactly right. And you'll go far in mathematics with such a healthily skeptical outlook!
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