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If √0 = 0
Is 00 = 1
and guys I have some doubt about n0
where n ≠0
Why is it equal to ∞?
Please guys,
can you explain this to me in a simple way?
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10 Answers
See, 00 is an indeterminate form.
n0=10n=10=∞
1 is infinite for 0.Zero is nil.
O° is indeterminate
An easy proof will be:
0/0 is indeterminate
→ 01/01 is indeterminate
→ o1-1 " "
→00 " "
n/0 is undefined .......... though previously I thought that n/0 is ∞ till Nishant Sir said that it was undefined.
Still in a few books you might find that n/0 is written as ∞.
lim (x-->0+)(n/x) is not equal to lim (x-->0-) (n/x)
thus it is undefined! [1]
As we know maths has 7 indeterminate numbers as
0*∞
∞*∞
∞/0
0/0
3 are more but I haven't remember, If any body remember than mention.
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actually ∞ has no existence...it depends on ones thought...
if we have a solution of 1mg NaCl in 1litre of water..and I dilute it by adding 100 litre of water in that bottle it is called infinite dilution...
again another person if wants to dilute the solution by adding to the solution the whole volume of water of Bay of Bengal :p
it is also called as infinite dilution..
so result of no mathematical operation cannot be equal to ∞ but it tends to ∞