Section: Engineering Mathematics | Marks: 1
Consider the infinite series (𝑃): ∑ 1 (𝑛log 𝑛)1/𝑛 ∞ 𝑛=2 (𝑄): ∑𝑛𝑛 (2𝑛)! ∞ 𝑛=1 Then which one of the following statements is correct ?
- A. Series (𝑃) and (𝑄) both converge
- B. Series (𝑃) converges and series (𝑄) diverges
- C. Series (𝑃) and (𝑄) both diverge
- D. Series (𝑃) diverges and series (𝑄) converges
Answer: D. Series (𝑃) diverges and series (𝑄) converges