Term
| What is the definition of Limit? |
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Definition
Let f(x) be a function defined on an interval that contains [image][image][image][image], except possibly at [image][image][image][image]. Then we say that,
[image][image][image][image]
if for every number [image][image][image][image] there is some number [image][image][image][image] such that
[image][image][image]
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Term
What is the definition of Limit from positive side?
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Definition
For the right-hand limit we say that,
[image][image][image][image]
if for every number [image][image][image][image] there is some number [image][image][image][image] such that
[image][image][image]
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Term
What is the definition of Limit from negative side?
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Definition
For the left-hand limit we say that,
[image][image][image][image]
if for every number [image][image][image][image] there is some number [image][image][image][image] such that
[image][image][image]
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Term
What is the definition of Limit as x approach infinity?
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Definition
Let f(x) be a function defined on an interval that contains [image][image][image][image], except possibly at [image][image][image][image]. Then we say that,
[image][image][image][image]
if for every number [image][image][image][image] there is some number [image][image][image][image] such that
[image][image][image]
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Term
What is the definition of Limit as x approach -infinity?
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Definition
Let f(x) be a function defined on an interval that contains [image][image][image][image], except possibly at [image][image][image][image]. Then we say that,
[image][image][image][image]
if for every number [image][image][image][image] there is some number [image][image][image][image] such that
[image][image][image]
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