Answer
$\infty$
Work Step by Step
$$\lim _{x\rightarrow \infty }\left( 3x^{12}-9x^{7}\right) =\lim _{x\rightarrow \infty }x^{12}\left( 3-\dfrac {9}{x^{5}}\right) =\lim _{x\rightarrow \infty }3x^{12}=\infty $$
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 2 - Limits - 2.5 Limits at Infinity - 2.5 Exercises - Page 96: 19
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