Find the Value of the Limit $\lim _ { x \rightarrow 1 } \frac { x - 1 } { x ^ { 3 } - 1 } .$

question 126

Multiple Choice

Find the value of the limit $\lim _ { x \rightarrow 1 } \frac { x - 1 } { x ^ { 3 } - 1 } .$

• A)0
• B)2
• C)
• \(\frac { 1 } { 3 }\)
• D)8
• E) \(\frac { 1 } { 4 }\)
• F) \(\frac { 1 } { 8 }\)
• G)
• \(\frac { 1 } { 32 }\)
• H) \(\frac { 1 } { 2 }\)

---

Definitions:

Compounded Monthly

The method of computing interest that includes both the original amount of money deposited or loaned and the interest that amount has earned in past months.

Amortized

The process of spreading payments over multiple periods, typically in context of a loan or mortgage, which includes both interest and principal components.

Compounded Semi-annually

Refers to the process where interest is calculated and added to the principal balance of an investment or loan twice a year.

Amortized

The process of spreading out a loan into a series of fixed payments over time.