Examples of using Negative infinity in English and their translations into Polish
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as x approaches negative infinity, that also looks like it's 2/3.
So we will say that this is equal to the improper integral that goes from negative infinity to 0 of 250 over 25 plus x squared dx,
So as you approach positive or negative infinity, y is going to be approximately equal to the square root,
we're going to go all the way down to negative infinity, everything less than or equal to 1/10.
So it actually turns out that there is no-- I mean this isn't very proper-- but to some degree at 0 you're at both positive and negative infinity depending on what direction you're coming from.
one improper integral that describes this area right over here in blue from negative infinity to 0.
but you can make an equaly strong argument that it could be a very different number! Negative infinity is going the exact opposite direction.
as x approaches positive or negative infinity, we saw that we always did have this plus 4 sitting here.
we can rewrite as the limit as n approaches negative infinity of the antiderivative of this, or an antiderivative of this,
So what we're left with is the limit as n approaches negative infinity of negative 50 arctangent of n/5 plus the limit as m approaches positive infinity of 50 arctangent of m/5.
Or you could say the limit of arctan of n/5 as n approaches negative infinity, this part right over here,
And once again, I have not given you a formal definition of this, but it 's hopefully giving you an intuition as we take limits to infinity to negative infinity-- actually this is supposed to be negative infinity-- limits to infinity, limits to negative infinity, or when our limited self is infinity, or negative infinity.
Now the other case is if the limit as x approaches c of f of x is equal to positive or negative infinity, and the limit as x approaches c of g of x is equal to positive or negative infinity, and the limit of I guess you could say the quotient of the derivatives exists,
Negative 6 times infinity is negative infinity.
As x approaches positive or negative infinity, what is y approximately equal to, in this case?
So I'm talking about from x at negative infinity all the way to x at infinity. .
But how do you do it when you have one boundary at positive infinity and one boundary at negative infinity?
So we can say the limit of f of x as x approaches 0 from the negative direction is equal to negative infinity.
So as x approaches positive or negative infinity, as it gets really,