Practice Assignment $2\mathrm{.}2$ Limits from Tables and Piecewise Functions

Score: $9\mathrm{.}25/15$ Answered: $9/15$

Question $4$

Let $f(x)=\frac{x^2-x-2}{x-2}$

Complete the table below. Round all table values to four decimal places, if necessary. Enter DNE if a function value is undefined.

$\backslash$table$[[x,1\mathrm{.}9,1\mathrm{.}99,1\mathrm{.}999,1\mathrm{.}9999,2,2\mathrm{.}0001,2\mathrm{.}001,2\mathrm{.}01,2\mathrm{.}1],[f(x),+,,,,,,,,]]$

Using the data in the table above, determine the following limits$.$ Enter DNE if a limit fails to exist, except in case of an infinite limit$.$ If an infinite limit exists, enter $$ or $-,$ as appropriate.

$\underset{x{2}^{-}}{lim}\frac{x^2-x-2}{x-2}=$

$\underset{x{2}^{+}}{lim}\frac{x^2-x-2}{x-2}=$

$\underset{x2}{lim}\frac{x^2-x-2}{x-2}=$

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