Question: 3. Consider the vector function $$ overrightarrow[r(t)}=frac{t^{2}-1}{-1} vec[imath}+sqrt{t+8} vec[jmath}+frac{sin (pi t)} {ln t} vec[k] $$ (a) Find the domain of the vector function. (b) Find

$3. Consider the vector function $$ overrightarrow[r(t)}=\frac{t^{2}-1}{-1} \vec[\imath}+\sqrt{t+8} \vec[\jmath}+\frac{\sin (\pi t)}$

3. Consider the vector function $$ overrightarrow[r(t)}=\frac{t^{2}-1}{-1} \vec[\imath}+\sqrt{t+8} \vec[\jmath}+\frac{\sin (\pi t)} {\ln t} \vec[k] $$ (a) Find the domain of the vector function. (b) Find $\lim _{t ightarrow 1} \overrightarrow r(t)}$ SP.SD. 428

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