Calculus: Early Transcendentals, Books a la Carte, and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition)
Calculus: Early Transcendentals, Books a la Carte, and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition)
3rd Edition
ISBN: 9780134996684
Author: William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher: PEARSON
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Chapter 2.6, Problem 101E

Do removable discontinuities exist? See Exercises 95–96.

  1. a. Does the function f(x) = x sin (1/x) have a removable discontinuity at x = 0?
  2. b. Does the function g(x) = sin (1/x) have a removable discontinuity at x = 0?
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Each of Exercises 19–24 gives a formula for a function y = f(x). In each case, find f(x) and identify the domain and range of f¯1. 20. f(x) = x*, x > 0 22. f(x) = (1/2)x – 7/2 24. f(x) = 1/x³, x + 0 19. f(x) = x³ 21. f(x) = x³ + 1 23. f(x) = 1/x², x> 0 %3D
H.W. In exercises 15–20, sketch a graph of the function. 15. f(x)= sin 3x 16. f(x)= cos 3x 17. f(x) = tan 2x 18. f(x) = sec 3x %3| 19. f(x)= 3 cos (x – 1/2) 20. f(x) = 4 cos (x + 7)
In Exercises 11–18, find the slope of the function’s graph at the given point. Then find an equation for the line tangent to the graph there

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