Find the Limit $\lim _ { x \rightarrow \infty } \left( 1 + \frac { 2 } { x ^ { 4 } } \right) ^ { x }$

question 172

Multiple Choice

Find the limit.
- $\lim _ { x \rightarrow \infty } \left( 1 + \frac { 2 } { x ^ { 4 } } \right) ^ { x }$

• A) \(\infty\)
• B) 2
• C) 0
• D) 1

---

Definitions:

Debris Flow

A type of fast-moving landslide consisting of a mixture of water, soil, rock, and organic matter, flowing down slopes and channels.

Rock Slide

A rock slide is a type of landslide involving the movement of rock, soil, and debris down a slope, often triggered by factors like water saturation, erosion, or seismic activity.

Preexisting Joints

Natural fractures or separations in rock that were present before any other types of deformation.

Open Space

Areas of land that are either naturally occurring or designated for recreational use, conservation, or urban planning, often lacking significant built structures.