3n Given that the series converges where P> which of the following is true (3n +1) O a The integral * (x+ 1) dx converges Ob The integral J dx (x+ 1) diverges Oc The integral , dx (**+ 1) D converges Od No correct answer 3x dx Oe23

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A: The power series is ,            ∑n=0∞(x+1)nn2n the radius of convergence can be found using ratio…

Q: 3. Is it possible for a power series centered at 0 to converge for x = 1, diverge for x = 2, and…

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Q: (a) Consider the series For which values of a > 0 does it converge and for which does it diverge?

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Use the integral test to find values of p for which the series is convergent: Inx why the real…

A: SOLUTION:-   Given series, ∑n=1∞ln(n)np.   We need to use the integral test for finding the value of…

Q: 1 (a) Use the Integral Test to show that > converges. 2. n' +1 d 1 n = 0 -1 tan dx Hint: 1+x?

A: As per our guidelines, we are supposed to solve only one question.  Kindly post other questions  as…

Q: Which infinite series below converges to the value of | sinx dx? OA. 1+ 19• 2! 1 1 + 37• 4!' 55• 61…

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Q: 1 that 1 x" with convergence in (-1, 1), find the power series for with center 1+ 6x7 n=0

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Q: Use the Integral Test to determine whether the infinite series is convergent. Fill in the…

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Q: X12

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Q: Consider the power series Center: a = Find the center, a, radius of convergence, R, and the interval…

A: Solution:Given power series: we have to find the centre (a), radius of convergence (R) and the…

Q: Find all the values of x such that the given series would converge. ∞ (11x)" n10 n=1 The series is…

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Q: Verify that the series E satisfies the conditions of the Integral Test, then use 4 п +1 n=1 the…

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Q: The nth derivatives of sinªx is ㅎ4"cos(4x +

A: FALSE. SOLUTION IS GIVEN BELOW HANDWRITTEN DOCUMENT. nth derivative of sin^4x

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Q: Give a power series Cnx" such that it is =1 convergent if |x| l of x = -1.

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Q: Find a power series for the function, centered at c. 1 h(x) C = 0 1- 2x' h(x) = n = 0 Determine the…

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Q: 1 Given that x" with convergence in (-1, 1), find the power series for with center 1+ 9x7 n=0 0.

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Q: 4. Consider 1 f(x) = É 1+n²x' For what values of x does the series converge absolutely? On what…

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