Limit Question?
The limit of x raised to [ 2 / (x-1) ] as x approaches +1.
So basically I can’t plug 1 in for x b/c it givces me 0 on the denominator in the exponent. I know I”m supposed to take the derivative until I can plug in 1 but I’m not sure how to do it.
Favorite Answer
If you come from the opposite direction, though, like 1.00001, you get 1.00001 being raised to a very large exponent, and so the number is getting BIGGER. You would then be approaching infinity.
The problem with taking the derivative is, you will always end up with a zero in the denominator… Meaning always an infinite exponent. And taking the derivative would mean that now you are also multiplying the whole thing by 2/0 (which itself approaches infinity).
So, really it’s not a cut-and-dried answer, but now you can imagine you approach zero from one direction, and infinity from the other — would look something like the graph of the tangent function at 90 degrees!
Hope that helps!
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