The local water company uses the following function for computing their customers' monthly water bills.

C$($x$)=\{1\mathrm{.}44$x$+6\mathrm{.}785\mathrm{.}01$x$2135\mathrm{.}22$if$0600$C$($x$)=\{1\mathrm{.}44$x$+6\mathrm{.}78$if$0600,$

where x is the number of gallons used and C$($x$)$C$($x$)$ is the cost in dollars.

Step$1$of$3$:$$

Find limx$600$C$($x$)$limx$600$C$($x$).$