∞
n = 1
- Use The Root Test To Determine The Convergence Or Divergence Of The Series N 1 1 (34.08 KiB) Viewed 12 times
Use the Root Test to determine the convergence or divergence of the series. ∞ n = 1
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Use the Root Test to determine the convergence or divergence of the series. ∞ n = 1
Use the Root Test to determine the convergence or divergence of the series.
∞
n = 1
Use the Root Test to determine the convergence or divergence of the series. n=1∑∞(5n+1−6n)2n Step 1 Recall the Root Test, which states that if ∑an is a series, and n→∞limn∣an∣<1, then ∑an absolutely. If n→∞limn∣an∣>1 or n→∞limn∣an∣=∞, then ∑an Step 2 For this series, an=(5n+1−6n)2n. Find n→∞limn∣an∣. n→∞limn∣an∣=n→∞limn∣∣(5n+1−6n)2n∣∣=n→∞lim(5n+16n)2=n→∞lim((5+6)2
∞
n = 1
Use the Root Test to determine the convergence or divergence of the series. n=1∑∞(5n+1−6n)2n Step 1 Recall the Root Test, which states that if ∑an is a series, and n→∞limn∣an∣<1, then ∑an absolutely. If n→∞limn∣an∣>1 or n→∞limn∣an∣=∞, then ∑an Step 2 For this series, an=(5n+1−6n)2n. Find n→∞limn∣an∣. n→∞limn∣an∣=n→∞limn∣∣(5n+1−6n)2n∣∣=n→∞lim(5n+16n)2=n→∞lim((5+6)2
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