Suppose that uz is a series of positive terms and that g is a continuous function that is no k21. Then, g(z)d converges to L implies u4 converges to L. Select one: O a False O b. None of these

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A: Given, f(x)=11+x2 Comparing this with a1-r, we get a=1, r=-x2

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A: True

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A: given series ∑n=0∞7n-3n49n4+2n

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A: see 2nd step

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A: The ratio test of convergence states that the series ∑n=0∞an converges if limn→∞an+1an<1. In the…

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A: Let the equation be y, then  - y = ∑n=0∞5x-23nExpanding this series by putting n=0, 1, 2 ....y = 5 +…

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Q: 6d. What does the above series 3(x - 1)" converge to for the values of x in the interval of conver-…

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Q: Consider the following series. n2 + 64 n = 1 1 Does the function f(x) = satisfy the conditions of…

A: This question can be solved using the concept of integral test.

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Q: Use the Integral Test to determine whether the series is convergent or divergent. Σ n2 + 6 n = 1…

A: Given data: The expression for the given series is ∑n=1∞nn2+6.   The expression for the integral…

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A: The proof of given series is obtained by using ratio test if series.

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Q: Let an n > 3. || n vn n Use the Integral Test to determine if the series ) An converges or diverges.…

A: Given an=1nlnn3, n≥3. Let ax=1xlnx13. By Integral test ∑n=3∞an and ∫3∞axdx converge or diverge…

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Q: 2. Use the integral test to determine whether or not the series E f(n), n=1 where f(n) conditions…

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A: Given:  So, the nth derivative is:

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A: The series is  . All the   are even and that's why consider .

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A: Given the series is We have to calculate the value of x for which the given series is convergent.

Q: 1 3. E Σ 3 n=1 V(4n + 7)9

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Use the Integral Test to determine whether the seriesconverge or diverge. Be sure to check that the…

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Q: State the Weierstrass's M-test, for the series of functions. Hence show that each of the following…

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Q: Suppose that an(x+9)" converges at a - 13. At which of the following values of æ must the series n=1…

A: Ratio test : Suppose the given series is  ∑n=1∞ bn and limn→∞bn+1bn=L .The series is  convergent if…

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Q: we can't use the ratio test to determine if the series E n=1n2 + 3 converges or diverges Select one:…

A: Answer and explanation is given below...

Q: For what values of x are the following series convergent? x2n (b) E(-1)" (2n + 1)! n=0

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