Use the Limit Comparison Test to determine whether the series converges or diverges. n=1∑∞​5n−4n1​ Identify bn​ in the f

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Use The Limit Comparison Test To Determine Whether The Series Converges Or Diverges N 1 5n 4n1 Identify Bn In The F 1 (49.16 KiB) Viewed 54 times

Use the Limit Comparison Test to determine whether the series converges or diverges. n=1∑∞​5n−4n1​ Identify bn​ in the following limit. n→∞lim​bn​an​​=n→∞lim​5n−4n1​​=L Since L a finite number, L0, and bn​ is
n=1∑∞​5(1+1/n)n(1+1/n)1​ Identify bn​ in the following limit. n→∞lim​bn​an​​=n→∞lim​5(1+1/n)n​(1+1/n)1​​=L Since L a finite number, L0, and bn​ is
Use the Limit Comparison Test to determine whether the series converges or diverges. n=1∑∞​(1−cos(n1​)) Identify bn​ in the following limit. n→∞lim​bn​an​​=n→∞lim​1−cos(n1​)​=L Since L a finite number, L0, and bn​ is
Does n=2∑∞​(ln(n))p1​ converge if p is large enough? If so, for which p ? The series diverges for all p by comparison with the harmonic series. The series converges for all p by comparison with the harmonic series. The series diverges for p>2. The series converges as p approaches infinity. The series converges for p<2.