(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Determine (i) lim_{x->6-}(46 + 4^{1/(x-6)})/(720 + 4^{1/(x-6)})

2. Relevant equations

None

3. The attempt at a solution

I simplified 4^{1/(x-6)}to be 4^{(x-6)-1}, which then became ((1/4)^{x-6})^{-1}

Then, that equals:

((1/4)^{x})^{-1}

---------

((1/4)^{6})^{-1}

Then if I substitute x=6, that becomes 1 and doesn't really help as I would get 47/721 for my limit. But I will also have to find the limits for that equation coming from the right (x->6^{+}) and just (x->6). On the graph all those should be different, I think. Plus lim at x->6 shouldn't even exist. But I don't know. Help?

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# Limits problem

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