Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition

Published by Brooks Cole
ISBN 10: 1-43904-957-2
ISBN 13: 978-1-43904-957-0

Chapter 1 - Ingredients of Change: Functions and Limits - 1.2 Activities - Page 21: 24

Answer

$\infty$

Work Step by Step

Given $$\lim _{t \rightarrow \infty}(10+5 \ln t) $$ By using the table we get $$ \begin{array}{|c|c|c|c|c|c|c|c|}\hline t\to\infty & {10} & {20} & {30} & {40} & {50} & {60} & {70} & {80} \\ \hline 10+5 \ln t & {21.5129} & {24.9787} & {27.006} & {28.4444} & {29.5601} & {30.4717} & {31.2425} & {31.9101} \\ \hline\end{array} $$ By using the table we get $$\lim _{t \rightarrow \infty}(10+5 \ln t) =\infty$$
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