The ebook Elementary Calculus is based on material originally written by H.J. Keisler. For more information please read the copyright pages. |
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Example 1
Let ε be a positive infinitesimal and H be a positive infinite hyperreal number. The vector 5εi + ε2k is infinitesimal. Its length is The vector εi + j + k is finite but not infinitesimal. Its length is The vector i + εj + Hk is infinite. Its length is
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