Evaluate the limit

$\underset{t0}{lim}((t+5)(vec(i))+\frac{sin(t)}{t}(vec(j))+(t+5{)}^2(vec(k)))$

Enter your answer in vec$(i),$vec$(j),$vec$(k)$ form.Evaluate the limit

$\underset{t0}{lim}((t+5)(vec(i))+\frac{sin(t)}{t}(vec(j))+(t+5{)}^2(vec(k)))$

Enter your answer in vec$(i),$vec$(j),$vec$(k)$ form.$\underset{\underset{\underset{}{lim}}{lim}}{lim}\underset{}{lim}$