Prove that 1/0=infinity
Reeshabh:
1/0 is a blunder in maths. Just-not-defined. However. 1/x when x TENDS to 0, then 1/x tends to infinity.
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16
In maths division by zero is division where the divisor (denominator) is zero. Such a division can be formally expressed as a/0 where a is the dividend (numerator). In ordinary arithmetic, the expression has no meaning, as there is no number which, multiplied by 0, gives a (assuming a≠0), and so division by zero is undefined. Since any number multiplied by zero is zero, the expression 0/0 also has no defined value; when it is the form of a limit, it is an indeterminate form.
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divide 1 by 0.1
e.g 1/0.1 = 10
again , divide 1 by 0.01
1/0.01 = 100
again , divide 1 by 0.001
1/0.001 =1000
if you do this again and again ,
you will see that resultant will be increase continuously.
but in infinity time you will see resultant will be infinity because in denominator if we goes near to zero value after division by 1 will be so large again and again .
so , I can say that if we divide 1 by 0 , resultant will be infinity .
hence
1/0 = infinity
e.g 1/0.1 = 10
again , divide 1 by 0.01
1/0.01 = 100
again , divide 1 by 0.001
1/0.001 =1000
if you do this again and again ,
you will see that resultant will be increase continuously.
but in infinity time you will see resultant will be infinity because in denominator if we goes near to zero value after division by 1 will be so large again and again .
so , I can say that if we divide 1 by 0 , resultant will be infinity .
hence
1/0 = infinity
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