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Limits of functions
based on the definition of the natural number e |
Evaluating
limits of functions
based on the definition of the natural number e |
Use
of the composition rule to evaluate limits of functions |
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Evaluating
limits of functions
based on the definition of the natural number e
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Use
of |
![](LimFE.gif) |
to
evaluate limits of the form |
![](LimFEA.gif) |
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Example: Evaluate
the limit |
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Solution:
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![](LimFEEx1A.gif) |
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Example: Evaluate
the limit |
![](LimFEEx2.gif) |
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Solution:
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![](LimFEEx2A.gif) |
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![](LimFEEx2B.gif) |
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Use of the composition
rule to evaluate limits of functions |
Use
the composition rule |
![](LimFLn.gif) |
to
evaluate limits of functions. |
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Example: Let
prove that |
![](LimFLnEx.gif) |
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Solution:
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![](LimFLnExA.gif) |
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![](LimFLnExB.gif) |
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Example: Evaluate
the limit |
![](LimFLnEx.1.gif) |
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Solution:
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![](LimFLnEx.1A.gif) |
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Example: Let
prove that |
![](LimFLnEx.2.gif) |
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Solution:
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![](LimFLnEx.2A.gif) |
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![](LimFLnEx.2B.gif) |
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Example: Evaluate
the limit |
![](LimFLnEx.3.gif) |
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Solution:
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![](LimFLnEx.3A.gif) |
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