Now option A is correct, root test is applied and series is divergent and value of p is given.
Now for second question, since root test can be applied no other test is not needed, as it clearly indicate the series diverges
(4 pts) Consider the series an where iM n=1 20n (8n? + 5) an = 5n...
(3 pts) Consider the series where n=1 (7n + 4)54 a = (7751 +15) In this problem you must attempt to use the Root Test to decide whether the series converges. Compute p= lim Van Enter the numerical value of the limit pif it converges, INF if it diverges to infinity, MINF if it diverges to negative infinity, or DIV If it diverges but not to Infinity or negative infinity. P= What is the conclusion of the root test? O...
Consider the series where In this problem you must attempt to use the Ratio Test to decide whether the series converges Compute.Enter the numerical value of the limit L if it converges, INF if it diverges to infinity, MINF it it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity. Which of the following statements is true? The Ratio Test says that the series converges absolutely. The Ratio Test says that the series diverges. The Ratio Test says that...
(1 point) Consider the series 14" (n+1)102141 In this problem you must attempt to use the Ratio Test to decide whether the series converges. Compute L = lim d. 1 a Enter the numerical value of the limit Lif it converges, INF if it diverges to infinity, -INF if it diverges to negative infinity, or DIV if it diverges but not to Infinity or negative infinity Which of the following statements is true? A. The Ratio Test says that the...
Consider the series \(\sum_{n=1} a_{n}\) whereIn this problem you must attempt to use the Ratio Test to decide whether the series converges.Compute$$ L=\lim _{n \rightarrow \infty}\left|\frac{a_{n+1}}{a_{n}}\right| $$Enter the numerical value of the limit \(L\) if it converges, INF if it diverges to infinity, -INF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity.L= _______Which of the following statements is true?A. The Ratio Test says that the series converges absolutely.B. The Ratio...
Consider the series \(\sum_{n=1} a_{n}\) whereIn this problem you must attempt to use the Ratio Test to decide whether the series converges.Compute$$ L=\lim _{n \rightarrow \infty}\left|\frac{a_{n+1}}{a_{n}}\right| $$Enter the numerical value of the limit \(L\) if it converges, INF if it diverges to infinity, -INF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity.L= _______Which of the following statements is true?A. The Ratio Test says that the series converges absolutely.B. The Ratio...
Consider the series \(\sum_{n=1} a_{n}\) whereIn this problem you must attempt to use the Ratio Test to decide whether the series converges.Compute$$ L=\lim _{n \rightarrow \infty}\left|\frac{a_{n+1}}{a_{n}}\right| $$Enter the numerical value of the limit \(L\) if it converges, INF if it diverges to infinity, -INF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity.L= _______Which of the following statements is true?A. The Ratio Test says that the series converges absolutely.B. The Ratio...
Consider the series \(\sum_{n=1} a_{n}\) whereIn this problem you must attempt to use the Ratio Test to decide whether the series converges.Compute$$ L=\lim _{n \rightarrow \infty}\left|\frac{a_{n+1}}{a_{n}}\right| $$Enter the numerical value of the limit \(L\) if it converges, INF if it diverges to infinity, -INF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity.L= _______Which of the following statements is true?A. The Ratio Test says that the series converges absolutely.B. The Ratio...
Consider the series \(\sum_{n=1} a_{n}\) where$$ a_{n}=\frac{(-1)^{n} n^{2}}{n^{2}+4 n+3} $$In this problem you must attempt to use the Ratio Test to decide whether the series converges.Compute$$ L=\lim _{n \rightarrow \infty}\left|\frac{a_{n+1}}{a_{n}}\right| $$Enter the numerical value of the limit \(L\) if it converges, INF if it diverges to infinity, -INF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity.L= _______Which of the following statements is true?A. The Ratio Test says that the series...
(5 pts) Consider the series 8 W arctan(n) n6 n=1 (a) For all n > 1, 0 < arctan(x) < x2 Give the best possible bound. And so 0 < an arctan(n) = <bn n/(2n^6) Since 0 < an <bn, which of the following test should we apply? A. The integral test B. The comparison test. C. The nth term test for divergence D. The ratio test E. The limit comparison test F. The p-series test G. The root test...
Cansider the series \(\sum_{n=1}^{\infty} a_{n}\) where$$ a_{n}=\frac{\left(6 n^{2}+2\right)(-7)^{n}}{5^{n+1}} $$In this problem you must attempt to use the Ratio Test to decide whether the series converges.Compute$$ L=\lim _{n \rightarrow \infty}\left|\frac{a_{n+1}}{a_{n}}\right| $$Enter the numerical value of the limit \(L\) if it converges, INF if it diverges to infinity, -INF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity.L= _______Which of the following statements is true?A. The Ratio Test says that the series converges absolutely.B. The...