Find the Value of the Limit $\lim _ { k \rightarrow \infty } \left( 1 + \frac { 1 } { 10 ^ { k } } \right) ^ { 10 ^ { 1 } }$

question 261

Multiple Choice

Find the value of the limit $\lim _ { k \rightarrow \infty } \left( 1 + \frac { 1 } { 10 ^ { k } } \right) ^ { 10 ^ { 1 } }$ .

• A)0
• B)1
• C)2
• D) \(e\)
• E)3
• F) \(\pi\)
• G)4
• H) \(\infty\)

---

Definitions:

Thermodynamics

The branch of physics that deals with the relationships between heat and other forms of energy, and how these affect matter.

Energy

The capacity to do work; expressed in kilojoules or kilocalories.

Irreplaceable

Something that cannot be replaced or substituted because of its unique qualities or significance.

Free Energy Change

A measure in thermodynamics indicating the amount of energy in a system that is available for work during a chemical reaction.