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The actual functional analysis for my rate of convergence is a bit more complicated. But essentially the problem I have is knowing if the following is true:

lim exp(x) -> infinity as x->infinity

is at the same rate as

lim exp(-x) -> 0 as x-> infinity

??? Would really appreciate the actual answer. Thank you!!!!!!

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# Rate of lim exp(x) ~? rate of lim exp(-x)

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