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7/25/2019 Calculus 2.7
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2.7 - #1 and Example
Suppose lies in the interval What is the smallest value of e such that for all
possible values of f(x!
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2.7 - #2
"he function f in the $ure satises %etermine the maximum value of
satisf&in$ each statement.
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2.7 - #2 Example
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7/25/2019 Calculus 2.7
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2.7 - #'
a. or ) nd a correspondin$ value of satisf&in$ the follo*in$ statement.
b. +erif& that as follo*s. or ) nd a correspondin$ value of satisf&in$ the
follo*in$ statement.
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2.7 - #' Example
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2.7 - #,
se the denition of one-sided innite limits to prove the innite limit belo*.
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2.7 - #
We sa& that if for each positive number /) there is a correspondin$ 0 such
that f(x / *henever x 0. se this denition to prove
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2.7 - # Example
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2.7 - #3
4ssume f is dened for all values of x near a) except possibl& at a. "he limit if for
some there is no value of satisf&in$ the condition
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2.7 - #3 Example
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