Homework Statement
Suppose ##f(x)## and ##g(x)## \rightarrow 0 as x \rightarrow 0+. Find examples of functions f and g with these properties and such that:
a.) ## \lim_{x\rightarrow 0+} { f(x)^{g(x)} = 0 } ##
Homework Equations
None
The Attempt at a Solution
Let ## f(x) = 2^x-1...
I understand, however, right now I'm simply guessing what rational expressions would allow me to do this, is there a more systematic approach to solving this kind of problem?
Also, it seems difficult to obtain a/0 since the limit of f(x) and g(x) as x approaches infinity is zero and any two...
Hi Vela,
I realize now that g(x) doesn't go to zero, that was a huge error and I adjusted the original attempt with respect to 1/g(x), although that despite it being irrelevant now, however, I am still unsure how to approach this problem generally. I imagine that I am suppose to obtain to two...
Hi, I am in a first semester Calculus I course in college with an intermediate skill level with precalc and a basic understanding of limits and infinity. I do not understand how to solve this problem I attempted to do so only to find out after completion that ∞/∞ is indeterminate rendering my...
Thanks for the source Pythagorean, I'll check it out now inlcuding Libet's experiments.
What I meant by control though, is what physiological process allows a person to engage in or manipulate the thought process? It just feels like there is a physiological process for thinking that shares...
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