Does grow faster, slower, or at the same rate as g as x? Give reasons for
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Does ƒ grow faster, slower, or at the same rate as g as x→∞? Give reasons for your answers.
a. ƒ(x) = log2 x, g(x) = log3 x
b. ƒ(x) = x, g(x) = x + 1/x
c. ƒ(x) = x/100, g(x) = xe-x
d. ƒ(x) = x, g(x) = tan-1 x
e. ƒ(x) = csc-1 x, g(x) = 1/x
f. ƒ(x) = sinh x, g(x) = ex
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ANSWER a x log2 x gx log3 x x and gx are both logarithmic functions but with different bases We know ...View the full answer
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Related Book For 
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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