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exactly ..n in ur language harsh....u may undrstnd it by an eg - If space is infinite it means that there is no end. and accordin to me it's a subtle difference, 1 / infinity is undefined (because infinity is not a single number)
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This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
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Infinity is a concept, not a number like 1 or 2. Hence ∞×0=0. Also, 0 cannot be cross multiplied as you did in your argument. Hence 1=0
exactly ..n in ur language harsh....u may undrstnd it by an eg - If space is infinite it means that there is no end. and accordin to me it's a subtle difference, 1 / infinity is undefined (because infinity is not a single number)
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you mean single number as real number. Right ?
I learnt this proof in Pseudo Maths : function is lim x->0 f(x)=1/x when the value of x approaches to 0 from positive, x=1, f(x)=1
x=0.1, f(x)=10
x=0.01, f(x)=100
x=0.001, f(x)=1000
when x=0, f(x)=∞
However, if the value of x approaches 0 from negative, x=-1, f(x)=-1
x=-0.1, f(x)=-10
x=-0.01, f(x)=-100
x=-0.001, f(x)=-1000
when x=0, f(x)=-∞
∞ and -∞ is completely different, so the limit is undefined.
infinity is not a number it is a repersention of a number which we dont know