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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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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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