# Use the integral test to determine if the following series converges or diverges.441 ln n8ne1First, show that the conditions required for the integral test applyoo441 ln zdz. Enter DNE or±o0 (if appropriate) if the integral diverges. No decimal entries[A] Find the value ofallowed441 In xda[B] Based on this, does the series converge?ConvergesDiverges

Question
1 views help_outlineImage TranscriptioncloseUse the integral test to determine if the following series converges or diverges. 441 ln n 8 ne 1 First, show that the conditions required for the integral test apply oo 441 ln z dz. Enter DNE or±o0 (if appropriate) if the integral diverges. No decimal entries [A] Find the value of allowed 441 In x da [B] Based on this, does the series converge? Converges Diverges fullscreen
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Step 1

From the given information it is required to determine if the series converges or diverges by using the integral test.

f be a function continuous, positive decreasing on [1,∞) such that an = f(n) then,

Step 2

In the given question the given series and corresponding f(x) is:

Step 3

Now, evaluate the integral to test f... help_outlineImage Transcriptionclose441n (x Lds = 441 (x) dx 8 In dx then find the limits: f(x) first evaluate In (x) d-In(x)(x*) - In (x)x d-(In(x))Jx*a dx In (x)x dx 7 -7 In (x)x 1x 7 7 7 fullscreen

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