6. Suppose t > 0. Consider the functions f(x) = e and g(x) = xt. Show that e> xt, for all x > 0, if and only if t < e.
6. Suppose t > 0. Consider the functions f(x) = e and g(x) = xt. Show that e> xt, for all x > 0, if and only if t < e.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![6. Suppose t > 0. Consider the functions f(x) = e* and g(x) = xt. Show that e > xt,
for all x > 0, if and only if t < e.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feebfa1cc-582c-4e38-8999-cdf5234fdafe%2Fd7fcdd27-20a0-48ee-bdec-e8ebfcdeaff9%2Fhpahki_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6. Suppose t > 0. Consider the functions f(x) = e* and g(x) = xt. Show that e > xt,
for all x > 0, if and only if t < e.
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