Find the Limit $\lim _ { t \rightarrow 0 ^ { + } } \langle10 \cos t , 30 \sin t , 5 t \ln t\rangle$

Multiple Choice

Find the limit. $\lim _ { t \rightarrow 0 ^ { + } } \langle10 \cos t , 30 \sin t , 5 t \ln t\rangle$

A) $\mathbf { r } ( t ) = 10 \mathbf { k }$
B) $\mathbf { r } ( t ) = 10 \mathbf { j }$
C) $\mathbf { r } ( t ) = 10 \mathbf { i } - 5 \mathbf { k }$
D) $\mathbf { r } ( t ) = 10 \mathbf { i } + 30 \mathbf { j } + 5 \mathbf { k }$
E) $\mathbf { r } ( t ) = 10 \mathbf { i }$