What's 2.5! ? What's 0÷0 ? What's 0⁰ ?

What's 2.5! ?

$\begin{array}{rcll} 2.5! &=& \Gamma(3.5) \\ &=& \Gamma(2.5+1) \\ &=& 2.5\cdot\Gamma(2.5) \\ &=& 2.5\cdot\Gamma(1.5+1) \\ &=& 2.5\cdot 1.5\cdot\Gamma(1.5) \\ &=& 2.5\cdot 1.5\cdot\Gamma(0.5+1) \\ &=& 2.5\cdot 1.5\cdot 0.5\cdot\Gamma(0.5) \qquad \Gamma(0.5) = \sqrt{\pi}\\ &=& 2.5\cdot 1.5\cdot 0.5\cdot\sqrt{\pi}\\\\ &=& 1.875\cdot\sqrt{\pi}\\ &=& 1.875\cdot 1.77245385091\\ &=& 3.32335097045\\ \mathbf{2.5!} & \mathbf{=} & \mathbf{3.32335097045} \end{array}$

What's 2.5! ? The answer is: B

A 3.32038

B 3.32335

What's 0 ÷ 0 ? The answer is: B. not "indefinite", but "undefined"

A ∞

B indefinite

What's 0^0 ? The answer is: A

A 1

B indefinite

{nl} Guest {nl} 11 mins ago     

What's 2.5! ?  

http://www.wolframalpha.com/input/?i=2.5%21

A 3.32038

B 3.32335

What's 0 ÷ 0 ?     undefined

A ∞

B indefinite

What's 0^0 ?     undefined

A 1

B indefinite