HP 48GX Collector’s Edition (merged) - please don't start two threads

[Johnh]

On the question of what 0^0 equals, obviously it's a conundrum, but I'm sure proper mathematicians are clear on what it should be. But here's my take, and the answer is 1:

If you say that 0^0 should be the limit of x^x as x approaches zero, then you can easily see the result heading towards 1 ie:

0.1^0.1 = 0.79433
0.01^0.01 = 0.95499
0.001^0.001 = 0.99312
0.0001^0.0001 = 0.99908
0.00001^0.00001 = 0.99988 etc

And barring a typo above, then I think all calculators will agree if considered that way.