WEBVTT
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this barrel. Number eighty of this tour calculus eighth
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edition, section two point six Formulate a precise definition
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are the limit is X approaches negative Infinity. The
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function of X is equal to negative immunity. In
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our definition, I will hold for values and greater
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lesson zero and listen. Zero. So for every
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m there existed and such that if xs Liston's value
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m n the function is guaranteed to be equal to
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negative infinity. So ah, we're going to start
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with this second part here. The function one plus
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execute less than about em and then proceeded to solve
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for X less than M minus one. And then
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, at this point, we could take the Q
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Bert of about minus one, confirming that this is
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a negative value since Emma. Negative, very large
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negative value are any negative. Allie minus one is
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still negative. Curative. A negative values negative.
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So all that is considered. This is a singular
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value Q brew. And this corresponds to this other
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condition except lesson in so we can choose and to
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be Cuba tive and minus one. And this guarantees
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that for every M, we can find it in
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such that the conditions are met for our precise definition
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, and this is exactly the way that we have
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to prove it. This is our definition that we
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stated we have. This is an example and equals
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to the cube root of this quantity, minus and
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minus one that guarantees that as a limited, a
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CZ expertise, negative infinity of thiss function one plus
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x cubed. It's definitely equal to native affinity.
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This's true, based on our definition, that we
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have shown this proof.