Let P $($x$)=2$x$5$

given in class, prove that

$2$x$4+2$x$3$

$5$x $+4.$ Using the definition of a limit $($Definition $13\mathrm{.}2)$ that was

lim

P $($x$)=$ P $(1).$

x$1$

Note that this will prove that P $($x$)$ is continuous at x $=1.$