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Chapter 1: Functions and Limits

Expert-verified
Essential Calculus: Early Transcendentals
Pages: 1 - 72
Essential Calculus: Early Transcendentals

Essential Calculus: Early Transcendentals

Book edition 2nd
Author(s) James Stewart
Pages 830 pages
ISBN 9781133112280

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Illustration

271 Questions for Chapter 1: Functions and Limits

  1. Evaluate the difference quotient for the given function. Simplify your answer.

    Found on Page 9

  2. Find the domain of the function

    Found on Page 9

  3. Find the domain and sketch the graph of the functions\({\bf{H}}\left( {\bf{t}} \right){\bf{ = }}\frac{{{\bf{4 - }}{{\bf{t}}^{\bf{2}}}}}{{{\bf{2 - t}}}}\).

    Found on Page 9

  4. Find the domain and sketch the graph of the functions\({\bf{G}}\left( {\bf{x}} \right){\bf{ = }}\frac{{{\bf{3x + }}\left| {\bf{x}} \right|}}{{\bf{x}}}\).

    Found on Page 9

  5. Determine whether the curve is the graph of a function of x. If it is, state the domain and range of the function.

    Found on Page 8

  6. (a) Approximate f by a Taylor polynomial with degree n at the numbera.

    Found on Page 1

  7. Determine whether the series is convergent or divergent.

    Found on Page 1

  8. (a) Approximate f by a Taylor polynomial with degree natthe number a.

    Found on Page 1

  9. (a) Approximate f by a Taylor polynomial with degree natthe number a.

    Found on Page 1

  10. (a) Approximate f by a Taylor polynomial with degree n at the number a.

    Found on Page 1

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