What is 0! and 0^0(0 to the power 0) ?

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by Anurag@Gurome » Sun Apr 15, 2012 5:02 pm
Rohit21 wrote:What is 0! and 0^0(0 to the power 0) ?
0! = 1
0^0 = 1
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by Rohit21 » Sun Apr 15, 2012 9:56 pm
But I read somewhere (may be GMAT CLub) that 0! is not defined. So just wanted to make sure.

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by Anurag@Gurome » Sun Apr 15, 2012 10:00 pm
Rohit21 wrote:But I read somewhere (may be GMAT CLub) that 0! is not defined. So just wanted to make sure.
It's for sure that 0! = 1

n! = 1 if n = 0, and
= (n - 1)! * n if n > 0

By this definition, 0! = 0
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by killer1387 » Sun Apr 15, 2012 10:12 pm
Anurag@Gurome wrote:
Rohit21 wrote:What is 0! and 0^0(0 to the power 0) ?
0! = 1
0^0 = 1
@Anurag

I think 0^0 is not defined; the case shifts to limits.

pls comment

thanx

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by Anurag@Gurome » Sun Apr 15, 2012 10:19 pm
killer1387 wrote: @Anurag

I think 0^0 is not defined; the case shifts to limits.

pls comment

thanx
Actually one could never say exactly that how to define 0^0. In GMAT, you'll never get a question that asks about 0^0.
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by ronnie1985 » Sun Apr 15, 2012 10:20 pm
Anurag@Gurome wrote:
Rohit21 wrote:What is 0! and 0^0(0 to the power 0) ?
0! = 1
0^0 = 1
0^0 is not defined as x^0 = x^(y-y) = x^y/x^y. For zero, it is not defined.
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