What is 0^0

[ maths ]
asked on 21 Jan 2011
Abigail Silva Abigail Silva
14 Q, 0 A, 0 C
 Please login to post your comment.

According to some Calculus textbooks, 0^0 is an indeterminate form. When evaluating a limit of the form 0^0 , then you need to know that limits of that form are calledindeterminate forms'', and that you need to use a special technique such as L'Hopital's rule to evaluate them. Otherwise, 0^0 = 1 seems to be the most useful choice for 0^0 . This convention allows us to extend definitions in different areas of mathematics that otherwise would require treating 0 as a special case. Notice that 0^0 is a discontinuity of the function x^y.

This means that depending on the context where 0^0 occurs, you might wish to substitute it with 1, indeterminate or undefined/nonexistent.

answered on 21 Jan 2011
Joe Seb Joe Seb
0 Q, 23 A, 0 C
 Please login to post your comment.

Post your Answer
 |Please login to post your answer.
[ high-school ] x 36

[ maths ] x 12

on 21 Jan 2011

9634 times

Latest Activity
on 21 Jan 2011