Find the Limit $\lim _ { t \rightarrow 0 } \left[ \left( t ^ { 2 } + 3 \right) \mathbf { i } + \cos 2 t \mathbf { j } - 10 \mathbf { k } \right]$

Multiple Choice

Find the limit $\lim _ { t \rightarrow 0 } \left[ \left( t ^ { 2 } + 3 \right) \mathbf { i } + \cos 2 t \mathbf { j } - 10 \mathbf { k } \right]$
Select the correct answer.

A) $4 \mathrm { i }$
B) $4 i + j$
C) $3 \mathbf { i } + \mathbf { j } - 10 \mathbf { k }$
D) $3 \mathbf { i } - 10 \mathbf { k }$