SOLUTION: Provide an example of functions f(x) and g(x) with the limit as x approaches infinity of f(x) is infinity and the limit as x approaches infinity of g(x) is infinity such that:
A
Algebra.Com
Question 1027256: Provide an example of functions f(x) and g(x) with the limit as x approaches infinity of f(x) is infinity and the limit as x approaches infinity of g(x) is infinity such that:
A) The limit as x approaches infinity of f(x)/g(x) is infinity.
B) The limit as x approaches infinity of f(x)/g(x) is 6.
C) The limit as x approaches infinity of f(x)/g(x) is zero.
D) Is it possible to have the limit as x approaches infinity of f(x)/g(x) is -1? explain.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
a) Let f(x) = x^2, g(x) = x
b) Let f(x) = 6x, g(x) = x
c) Let f(x) = x, g(x) = x^2
d) No. }{g(x)})
can either be a non-negative constant or infinity, but proving this would require a little more rigor.
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