1. Consider the function f(x) = x(Va – 1), where a > 0, x > 0. (a) Tell if f is an indeterminate form? If yes, write its form, and if no, explain why. (b) If 0 < a < 1, show that lim, f (x) is a negative number.
1. Consider the function f(x) = x(Va – 1), where a > 0, x > 0. (a) Tell if f is an indeterminate form? If yes, write its form, and if no, explain why. (b) If 0 < a < 1, show that lim, f (x) is a negative number.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.4: Operations On Functions
Problem 124E
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![1. Consider the function f(x) = x(Va – 1), where a > 0, x > 0.
%3D
(a) Tell if f is an indeterminate form? If yes, write its form, and if no, explain why.
(b) If 0 < a < 1, show that lim, f (x) is a negative number.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d8c10a9-e41a-481c-9035-6fd4af1c6723%2Fad8a34cd-bb8a-4db8-b262-6aeeba225b48%2Fwl74d7f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Consider the function f(x) = x(Va – 1), where a > 0, x > 0.
%3D
(a) Tell if f is an indeterminate form? If yes, write its form, and if no, explain why.
(b) If 0 < a < 1, show that lim, f (x) is a negative number.
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