Estimate the Limit by Graphing the Function for an Appropriate $\lim _ { x \rightarrow \infty } \frac { x } { 2 ^ { x } }$

question 251

Essay

Estimate the limit by graphing the function for an appropriate domain. Confirm your estimate by using L'Hopital's rule.
Show each step of your calculation.
- $\lim _ { x \rightarrow \infty } \frac { x } { 2 ^ { x } }$

---

Definitions:

Intellectual Impairment

A condition characterized by significant limitations in intellectual functioning and adaptive behavior, impacting daily life and skills.

Suicide

The act of intentionally causing one's own death. Suicide is a complex issue with psychological, social, biological, cultural, and environmental factors.

Depression

A mental condition identified by a continuous melancholic mood or a lack of motivation in activities, deeply affecting everyday living.

Transcranial Magnetic Stimulation

A noninvasive procedure that uses magnetic fields to stimulate nerve cells in the brain to improve symptoms of certain conditions.