Question

If \(c\) is any real number and \(0 < c < 1\), then:

• A. $\text{c} < \text{c}^2$
• B. $\text{c}^2 < \text{c}$
• C. $\text{c}^2 < \text{c}^3$
• D. $\text{c}^3 = 1$

Hint:

When a positive number is less than 1, multiplying it by itself makes it smaller.
Therefore, for \( 0 < c < 1 \):
\[ c > c^2 > c^3 > c^4 > \dots \]

Answer 1

The Correct Option is B