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# Isn't any number to the power of negative infinity supposed to be equal to zero ?

0
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3

Isn't any number to the power of -∞ supposed to be equal to zero ?

Guest Apr 18, 2015

#3
+17745
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0  and  1  are "indeterminate" expressions  --- which means that their value is determined by the problem that created those expressions and has no specific value for all cases.

Also, 0-∞  and  1-∞  are also indeterminate expressions.

Expressions, such as (½)-∞ can be reduced to (2)∞ so it won't approach 0. --- Therefore, fractions between 0 and 1 won't approach 0.

geno3141  Apr 19, 2015
#1
+4664
+3

$${{\mathtt{3}}}^{-{\mathtt{3}}} = {\frac{{\mathtt{1}}}{{\mathtt{27}}}} = {\mathtt{0.037\: \!037\: \!037\: \!037\: \!037}}$$

This is what i got.

Honestly, i don't know.

I've always hated negative number they always trick me with the operations.

MathsGod1  Apr 18, 2015
#3
+17745
+10

0  and  1  are "indeterminate" expressions  --- which means that their value is determined by the problem that created those expressions and has no specific value for all cases.

Also, 0-∞  and  1-∞  are also indeterminate expressions.

Expressions, such as (½)-∞ can be reduced to (2)∞ so it won't approach 0. --- Therefore, fractions between 0 and 1 won't approach 0.

geno3141  Apr 19, 2015