Evaluate the integral, if it is convergent. ~2 dy а. (4-y)² 00

Q: 2. 9n=3" %3D Use Squeeze ce theorem and detcomine cwhether diverges. Converges or

A: The solution are next step

Q: 1 En=1 4n² 8n +3

A: ∑n=1+∞ 14n2-8n+3using limit comparison testlimn→∞ 14n2-8n+31n2limn→∞ n24n2-8n+3factorisinglimn→∞…

Q: Solve the following oblique triangle using the Law of Sines. Show your work! Round 1 place after the…

A: We are provided with following information : B=47.2o , C=73.7o b=56.9 ft According to Sine rule , we…

Q: 3) Use the Limit Comparison Test to determine whether the series 1/5 2n"5 n=1 + is convergent or…

A: The solution is given as

Q: 3 1+e п

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Q: The integer n = 12700140x3243243 is missing the digit x. a) If n congruent to  3 (mod 9), then what…

A: According to the given information, Consider the given integer n:

Q: 1 converges or diverges. As part Let b be a real number with b > 1. Determine whether 1+ bk k=0 of…

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Q: 1 E(-1)"+1, ( n + 1 ) . 3η n=1

A: To find whether converges or diverges

Q: 2. Absolute convergent, conditional convergent, or divergent? i) E(-1)k 25k +8 k = 1 ii) E(-1)k 3*+±…

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Q: Decide whether the following converges or diverges. 1 En=1 Inn+n!/2 100

A: Given series is ∑n=1∞1lnn+n Let xn=lnn+n Now, for n≥1,  lnn<nn+lnn<2n12n<1n+lnn Let us…

Q: Can you further solve how exactly to find a convergent subsequence here?

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Q: hich values of xER, does the 2 (x-4)? converges abs

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Q: 10 TJC Promo 9740/2006/Q6 A geometric progression has first term a (where a > 0), and common ratio…

A: Sum of the first n terms is given as

Q: 00 dz Vr² + 11z + 19 00 I + 11 1³ + 11x² + 71 IP- 1

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Q: 00 Se*dx Find

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Q: dx Study the convergence of 1= Solution

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Q: Determine i absolutely conergent, condifionelly oliverpent. (Do not use the followige serres i's…

A: Don't worry, we will make use of the Comparison test. If the sum of |a[n]| converges, then the sum…

Q: Is f(x) = x0 DNE 17x + 1 a polynomial function? If it is, give its degree. (If expression is not a…

A: We use definitions of polynomial function and degree of the polynomial to answer the given question.

Q: 1 Is (-1)"- conditionally convergent, absolutely convergent, or n In n divergent?

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Q: This answer is incorrect, could you please attempt it again?

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Q: Let r be a constant. Suppose >,r i=1 converges to 8, then the sum of >r' is i=0 Answer:

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Q: Test the convergency o f Stan ("

A: According to the given information, it is required to test the convergence.

Q: 8. 27 n=3

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Q: (n2 +1)2 n=1 2.

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Q: E (1) (-1). Incn) Incn) + l000 ne50

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.