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0^0
11-24-2023, 05:56 PM
Post: #2
RE: 0^0
What I have always learned:
- 0^0 is undefined. period. So, that is what the 49 and up return in exact mode: '?'.
- however - because the limit of f(x)^g(x) of x->0 is 1. for a whole class of functions f and g, AND for historical compatibility (and the binomial theorem etc), 0.^0. (approx mode) is 1.
So, you have it both ways ;-)

Werner
PS. Remark that limits are not values..
sin(x)/x is undefined for x=0, but its limit for x->0. is 1. This is a similar problem, really.

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Messages In This Thread
0^0 - Albert Chan - 11-24-2023, 05:43 PM
RE: 0^0 - Werner - 11-24-2023 05:56 PM
RE: 0^0 - klesl - 11-24-2023, 08:14 PM
RE: 0^0 - Albert Chan - 11-24-2023, 09:41 PM
RE: 0^0 - Albert Chan - 11-25-2023, 12:47 PM



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