Find the Limit $$\lim _ { x \rightarrow \infty } \frac { 6 x } { \ln \left( 2 + 5 e ^ { x } \right) }$$

question 148

Multiple Choice

Find the limit. Select the correct answer.
$$\lim _ { x \rightarrow \infty } \frac { 6 x } { \ln \left( 2 + 5 e ^ { x } \right) }$$

• A) \(\frac { 2 } { 5 }\)
• B) \(\infty\)
• C) \(- \infty\)
• D) 6
• E) 0

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Definitions:

Landslides

The movement of rock, earth, or debris down a slope due to gravity.

Thrusting

A type of geological fault movement where one block of the earth's crust is pushed up over another.

Strike-Slip Fault

A type of fault where the movement of blocks along the fault is horizontal, parallel to the fault line.

Subduction Zone

A geological region at convergent boundaries where one tectonic plate moves under another and into the mantle, leading to volcanic and seismic activity.