Recent content by danielassayag

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    B Why 1 / ∞ = 0 but ∞ * 0 is not equal to 1?

    You quoted this: danielassayag said: 1/infinity tends to zero, but only tends, which mean it's not completely 0, there is still some infinitely small value left to it. to then respond: but here is what I wrote: (as you can see it hasnt been edited on the post) I'm interpreting 1/x with x...
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    B Why 1 / ∞ = 0 but ∞ * 0 is not equal to 1?

    in some case, (when x get larger and larger) 1/x tends to zero, but only tends, which mean it's not completely 0, there is still some infinitely small value left to it. If you multiply that infinitely small value of 0 decimal, to an infinitely large integer number, you end multiplying the depth...
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    B Why 1 / ∞ = 0 but ∞ * 0 is not equal to 1?

    Wolfram alpha and microsoft don't seem to implement your understanding of maths, as they don't comprehend that 1/infinity should be undefined. Though they understand the concept of undefined itself, when it comes to dividing 1/0.
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    B Why 1 / ∞ = 0 but ∞ * 0 is not equal to 1?

    I didn't mean to outsmart wolframalpha btw..
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    B Why 1 / ∞ = 0 but ∞ * 0 is not equal to 1?

    You are right. I just realized that 1/x when x gets larger tends to 0. But if x is infinitely smaller, example 1/0.1, 1/0.01.., then it tends to infinity again. So 1/infinity tends both to zero and infinity. So i guess you can call it undefined.
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    B Why 1 / ∞ = 0 but ∞ * 0 is not equal to 1?

    Division by infinity is not undefined. Division by infinity tends to zero, The plot is stretched oppositely whether the number is smaller or greater than one. plot | 1/x | x = -0.1 to 0.1 plot 1/x from x=-100 to 100
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    B Why 1 / ∞ = 0 but ∞ * 0 is not equal to 1?

    Why multiplying 0 by infinity should be zero and not one, when dividing 1 by infinity is 0? the a/b = c equivalent to a = b*c relation doesn't apply here?
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    B Why 1 / ∞ = 0 but ∞ * 0 is not equal to 1?

    As we know those relations are true: if a/b = c, then a = b*c and b = a/c Therefore if 1/ ∞ = 0, ∞ * 0 should be equal to 1 and 1/0 = ∞
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