SOLUTION: Let f be the real function given by f (x) = x^x for all x ∈ (0, ∞).
a) We want the scoping to f be extended to the interval [0, ∞) and that f remain constant.
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-> SOLUTION: Let f be the real function given by f (x) = x^x for all x ∈ (0, ∞).
a) We want the scoping to f be extended to the interval [0, ∞) and that f remain constant.
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Question 804738: Let f be the real function given by f (x) = x^x for all x ∈ (0, ∞).
a) We want the scoping to f be extended to the interval [0, ∞) and that f remain constant.
What do f(0) have to be?
You can put this solution on YOUR website! What we are asking for is lim as x goes to 0 for the f(x) = x^x or
what is 0^0. I don't have the proof of this but I know that
(1) (anything)^0 = 1
and anything includes ALL numbers, including zero.
Therefore to extend the function to include x equal to zero,
(2) f(0) = 1
(