Tucker Kelley

08/21/2024 · Senior High School

Consider the following list of functions. Select which functions you can apply L'Hopital's rule after algebraic manipulating. More than one answer is possible. \( \lim _ { x \rightarrow \infty } ( \frac { e ^ { 2 x } } { - 2 x } ) \) \( \lim _ { x \rightarrow 1 } ( \frac { \cos ( x ) } { x ^ { 3 } - x } ) \) \( \lim _ { x \rightarrow 0 ^ { + } } ( \frac { 1 } { x } - \frac { 1 } { \sin ( x ) } ) \) \( \lim _ { x \rightarrow - \infty } ( x ^ { 2 } e ^ { x } ) \) \( \lim _ { x \rightarrow 0 } ( \frac { x ^ { 5 } } { x ^ { 3 } - 3 } ) \)