$($a$)$ Complete the table below given $f(x)=\frac{sin(9x)}{x}.$

Round your answers to six decimal places.

$\backslash$table$[[x,-0\mathrm{.}1,-0\mathrm{.}01,-0\mathrm{.}001,0\mathrm{.}001,0\mathrm{.}01,0\mathrm{.}1],[f(x),,,,,,]]$

$($b$)$ Estimate $\underset{x0}{lim}\frac{sin(9x)}{x}.$

Enter your answer to the nearest integer.

$\underset{x0}{lim}\frac{sin(9x)}{x}=$

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