Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - 1.5 The Limit of a Function - 1.5 Exercises - Page 61: 24

Answer

$\lim\limits_{p \to -1}$ $\frac{1+p^{9}}{1+p^{15}}$ = 0.6

Work Step by Step

Use a table of values to estimate the value of the limit: $\lim\limits_{p \to -1}$ $\frac{1+p^{9}}{1+p^{15}}$ p_____ |_____f(p) -1.1__| 0.427397 -1.01_| 0.58201 -1.001| 0.598200 -1 $\approx$ 0.6 -0.999| 0.601799 -0.99_| 0.61799 -0.9__| 0.771405 Since the numbers each get closer to 0.6 the estimated value is 0.6.
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