Find the Limit $$\lim _ { x \rightarrow } \sqrt { x ^ { 2 } + 2 x } - \sqrt { x ^ { 2 } - 8 x }$$

question 257

Multiple Choice

Find the limit.
- $$\lim _ { x \rightarrow } \sqrt { x ^ { 2 } + 2 x } - \sqrt { x ^ { 2 } - 8 x }$$

• A) does not exist
• B) - 3
• C) 5
• D) 10

---

Definitions:

Refracted

The process by which a wave, such as light or sound, changes direction as it passes through a boundary between two different media.

Interface

A surface forming a common boundary among two different phases, materials, or substances, in various scientific contexts.

Liquefied

Turned into a liquid form, often referring to gases that have been converted to liquid under pressure.

Tsunami

A series of ocean waves with extremely long wavelengths caused by large-scale disturbances of the ocean, such as earthquakes, volcanic eruptions, or underwater landslides.