doesn’t negative infinity squared = positive infinity?
Does negative infinity squared equal positive infinity? I’m trying to understand the mathematical reasoning behind this concept. Can someone explain why squaring negative infinity results in positive infinity, or clarify if this statement is accurate?
9 Answers
Remember in pre algebra or whatever, when they used to say pretend theres a 1 in front of your variable? So in your limit problem, that first argument
-x^2
you should think of it like
-1 * x^2
and infinity is your x, that's why the limit to your other problem is -infinity
And screw you people giving me thumbs down. If you took calculus, you wouldn't be saying stupid $hit like 'No, infinity is not even a number' it's not possible to add infinity to infinity.' Except for Steven, that guy is on the right track.
I am right. I showed your problem (from your last question) to my calculus professor. He laughed at me. I told him I was just double checking an easy one. So eff you people.
This guy's original problem was
Lim as x ---> +infinity
f(x) = - x^2 + 2 - (1/x)
he knew limit was -infinity, just didn't know why.
Rolls up sleeves.
Alright, before I get started, I want to tell the people who said that infinity isn't a number is only half right. Infinity is not a REAL number, but it can still be considered an imaginary number. So... 凸
Let me show you this pattern:
1; -2
2; -2 x -2 = 4
3; 4 x -2 = -8
4; -8 x -2 = 16
It appears to me that odd powers of negatives results in a negative number while even powers of negatives result in a positive number. So now we need to ask this, "Is infinity an even or an odd number?"
My answer is neither, because I determine odds and evens based on their spot on the number line, and infinity doesn't have a spot on the real numbers number line. However, there are others that would probably determine evens by dividing the number by two and see if it breaks off into a decimal place or not. If you used this method, then you can say that infinity is an even number, because I'd imagine that infinity divided by two would still be infinity.
Either I'm 100% correct, or I'm just fool of hot air. I'm no expert :3.
mpielichowski you can multiply infinity by infinity and multiplication of any two negative unknown is positive thats why negative infinity square is positive infinity
negative infinity cannot be squared, it is not a number. I suspect this is the result of a limiting operation, in which case it may be able to be evaluated. But you would have to tell us what the limit you are trying to solve is before I could say.
yes
it can be seen through the graph of a square function where square of
-infinity = +infinity
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