Let $G(t)=\frac{1-cos(5t-5)}{3(t-1{)}^2}.$ Complete parts $(a)$ and $(b)$ below.

a$.$ Make tables of values of $G$ at values of $t$ that approach $t_0=1$ from above and below. Then estimate $\underset{t1}{lim}G(t).$

$\backslash$table$[[$t$,0\mathrm{.}9,0\mathrm{.}99,0\mathrm{.}999,1\mathrm{.}001,1\mathrm{.}01,1\mathrm{.}1],[G(t),,,,,,]]$

$($Do not round until the final answer. Then round to six decimal places as needed.$)$