Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 4 - Section 4.4 - Indeterminate Forms and l''Hospital''s Rule - 4.4 Exercises - Page 311: 4

Answer

a) $0^{0}$= indeterminate b) $0^{\infty}$ = 0 c) $1^{\infty}$ = indeterminate d) $\infty^{1}$ = $\infty$ e) $\infty^{\infty}$ = $\infty$ f) $\infty^{1/\infty}$ = indeterminate

Work Step by Step

a) cannot be determined b) zero to the power of any number is zero c) we do not know the number 1 is raised by d) infinity raised by one is still infinity e) infinity raised by infinity is still infinity f) $1/{\infty}$ is zero and infinity to the power of zero is indeterminate
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