Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 10 - Section 10.3 - Limits and Continuity: Algebraic Viewpoint - Exercises - Page 718: 14

Answer

determinate, diverges to $+\infty$

Work Step by Step

See the table: "Some Determinate and lndeterminate Forms" and$, $after plugging in the value for x, recognize that the limit is initially in the form $ k\pm\infty=\pm\infty$ (determinate) (when x$\rightarrow-\infty$, $ x^{2}\rightarrow+\infty$, $3x^{2}\rightarrow+\infty $, $6+3x^{2}\rightarrow+\infty )$ so the limit diverges to $+\infty$.
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