Evaluate the Limit $\lim _ { x \rightarrow \infty } \frac { \ln \left( x ^ { 3 } \right) } { x ^ { 10 } }$

question 37

Multiple Choice

Evaluate the limit $\lim _ { x \rightarrow \infty } \frac { \ln \left( x ^ { 3 } \right) } { x ^ { 10 } }$ using L'Hopital's Rule if necessary.

• A) \(\frac { 10 } { 3 }\)
• B) \(\infty\)
• C) \(- \infty\)
• D) \(\frac { 3 } { 10 }\)
• E) 0

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Definitions:

Caffeine

A stimulant commonly found in coffee, tea, and other beverages, known for enhancing alertness and temporarily warding off drowsiness.

Caffeine

A stimulant found in coffee, tea, and various sodas and energy drinks, known for its ability to temporarily ward off drowsiness and restore alertness.

Stimulant

A substance that raises levels of physiological or nervous activity in the body, often used therapeutically to increase alertness or physical performance.

Depressant

A substance that reduces the functioning of the nervous system, often used to decrease anxiety and induce sleep.