WebNov 2, 2024 · 0. No they are not the same, try with n = 3. ( 2 n)! 2 ( n)! = ( 6!) 2 ( 3)! = 6 ⋅ 5 ⋅ 2. which indicates that ( 2 n)! is much larger than 2 ( n)!. We don't need ratio test in this case indeed by direct comparison we see that. ∑ n = 1 ∞ ( n!) ( 2 n)! ≤ ∑ n = 1 ∞ 1 2 n ( 2 n − 1) ≤ ∑ n = 1 ∞ 1 2 n 2 = π 2 12. Share. Cite. WebFree math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.
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