Evaluate the Limit Given Below $$\lim _ { t \rightarrow 2 } \left( e ^ { - 3 t } i + \frac { 2 t ^ { 2 } } { t ^ { 2 } + 6 t } j + \frac { 2 } { t } k \right)$$

Multiple Choice

Evaluate the limit given below. $$\lim _ { t \rightarrow 2 } \left( e ^ { - 3 t } i + \frac { 2 t ^ { 2 } } { t ^ { 2 } + 6 t } j + \frac { 2 } { t } k \right)$$

A) $\mathbf { r } ( t ) = i + 2 j$
B) $r ( t ) = i$
C) $\mathbf { r } ( t ) = 2 j$
D) $\mathbf { r } ( t ) = 0$
E) The limit does not exist.