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2.2 - #1

When (x>>a)lim f(x) exists, it always equals f(a). State whether this statement is

true or false.

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Use the grah of h in the gi!en "gure to "n the following !alues, if they exist.

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2.2 - #2 $xamle

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a. &rah f to estimate (x>>-')lim f(x).

. $!aluate f(x) for !alues of x near -' to suort your on*eture in art (a).

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Use the grah to "n the following limits an funtion !alue.

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Seth a ossile grah of a funtion that satis"es the onitions elow.

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$stimate the !alue of the following limit y reating a tale of funtion !alues for

h/0.01, 0.001, an 0.0001, an h/-0.0001, -0.001, an -0.01.

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or any real numer x, the 3oor funtion (or greatest integer funtion), 4x5, is

e"ne to e the greatest integer less than or equal to x (see "gure). 6nswer arts

(a) through (e).

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2.2 - #7

6ssume that ostage for sening a "rst-lass letter in the Unite States is 80.%% for

the "rst oune (u to an inluing 1 o9) lus 80.% for eah aitional oune (u to

an inluing eah aitional oune). :omlete arts a through .

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2.2 - #7 $xamle

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2.2 - #10

6 funtion is e!en if f(-x) / f(x) for all x in the omain of f. ;f f is e!en, with

(x>>

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2.2 - #10 $xamle