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

question 3

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.

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