This is a two$-$part problem. Answer BOTH parts.i$.$ Determine the limit of the vector$-$valued function:limIn t$3$ Vt $8$kii. Set$-$up but do not evaluate the integral to determine the length of the curve.$($t$)=2$ costi $2$ sin t$]$ t k$,0$ t

This is a two$-$part problem. Answer BOTH parts.

i$.$ Determine the limit of the vector$-$valued function:

$\underset{t1}{lim}[(\frac{t^2-1}{lnt})(hat(i))(\frac{2t-1}{3t})(hat(j))\sqrt[\phantom{2}]{t8}(hat(k))]$

ii$.$ Set$-$up but do not evaluate the integral to determine the length of the curve.

vec$(f)(t)=2costhat()2sinthat()t^{2}k,0t\frac{}{4}$