The statement 3^n < n! is true when:
Correct answer: D. n ≥ 6
- A. n = 2
- B. n = 4
- C. n = 6
- D. n ≥ 6
Explanation
To determine the range of values for n where the statement "3^n < n!" is true, we need to analyze the inequality.For n ≥ 6, the statement 3^n < n! is true. This is because as n increases, the value of n! grows much faster than the value of 3^n.Therefore, the correct option is (d) n ≥ 6.
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