Asked by Elizabeth
True or False
If lim x→∞ f(x) = 1and lim x→∞ g(x) = ∞,then lim x→∞ [f(x)]^g(x) = 1.
If lim x→∞ f(x) = 1and lim x→∞ g(x) = ∞,then lim x→∞ [f(x)]^g(x) = 1.
Answers
Answered by
oobleck
false
think of the definition of e: lim(x->∞) (1 + 1/x)^x
think of the definition of e: lim(x->∞) (1 + 1/x)^x
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