Maclaurin polynomial p3

5:56 9 knewton.com – 2 hours 0/20 QUESTION 1.1 POINT Find the Maclaurin polynomial p3(x) for f(x) = 64. Provide your answer below: P3(x) = FEEDBACK Content attribution QUESTION 2 · 1 POINT Write the first four terms of the sequence defined explicitly by the equation below, starting with n = 1. an = 3n + 3 2 Enter an exact answer. Provide your answer below: a n ai a2 co a 4 ! FEEDBACK Content attribution QUESTION 3 1 POINT Determine the limit of the sequence defined below. an = -9 cos n If the limit does not exist, enter Ø. If the sequence approaches positive or negative infinity, enter a or -, respectively. Provide your answer below: 9 cos = lim no n FEED III. Content attribution knewton.com – 2 hours 0/20 QUESTION 7.1 POINT Find the Maclaurin polynomial p3 (x) for f(x) = 34. Provide your answer below: P3(x) FEEDBACK Content attribution QUESTION 8. 1 POINT Find the Taylor polynomial p3(x) for f(x) = ln (7x) at x = 1. Provide your answer below: P3(x) = FEEDBACK Content attribution QUESTION 9.1 POINT Use a power series to represent the function f(x) = 6 centered at x = 0. 6x – 5′ Provide your answer below: swi n = 0 FEEDBACK Content attribution QUESTION 10. 1 POINT Find the first four nonzero terms of the binomial series for the function f(x) = 3 2 1 + – Provide your answer below: f(x) = 0 + + ++… knewton.com – 2 hours 0/20 QUESTION 10. 1 POINT 1 Find the first four nonzero terms of the binomial series for the function f(x) = 3 2 1+ х Provide your answer below: f(x) = + + + ! FEEDBACK Content attribution QUESTION 11 . 1 POINT Use the root test to determine if the series below converges absolutely or diverges. n Σ( 20 ) -2n – 9 3 – 8n n=1 Select the correct answer below: The series converges absolutely. The series diverges. The root test is inconclusive. FEEDBACK Content attribution QUESTION 12.1 POINT oo Determine the sum of the infinite series Σ (4a, + 76.), if Σ an = = 5 and Xb, = -6. n=1 n=1 n=1 Provide your answer below: E (49, +7bm) n=1 FEEDBACK Content attribution QUESTION 13. 1 POINT Determine the sum of the telescoping series below. 00 16 16 Σ lle n8 (1 18 5:51 knewton.com – 2 hours 0/20 QUESTION 16. 1 POINT Differentiate the series represented by the function f below term-by-term to find the power series forf’. 7 f(x) = 3 – 15 Provide your answer below: w n=0 FEEDBACK Content attribution QUESTION 17. 1 POINT Determine if the series below is a power series. 00 Ž sin(4x)/(n+8) n=0 Select the correct answer below: Power series Not a power series ! FEEDBACK Content attribution QUESTION 18 . 1 POINT 00 3 Consider the series Σ Determine if the series converges or diverges by examining the partial 3n + 9n2 n=1 sums given below. Si = 0.25 S2 = 0.321 S3 = 0.355 S4 = 0.374 S5 = 0.386 S6 = 0.395 S7 = 0.402 Sg = 0.407 S9 = 0.411 S10 = 0.414 | Select the correct answer below: knewton.com ~ 2 hours 0/20 QUESTION 13 · 1 POINT Determine the sum of the telescoping series below. 16 16 Σ n8 (n + 1) n=1 If the series diverges, enter Ø as your answer. Provide your answer below: 16 16 (n+1) 8 ! FEEDBACK Content attribution QUESTION 14 · 1 POINT Determine the interval of convergence for the series below, given that the ratio test result is p = Eltel lle IM: Σ. 11″en n=0 Write your answer in interval notation. Provide your answer below: Interval of convergence: EEDBACK Content attribution QUESTION 15 · 1 POINT Determine if the series below converges or diverges by comparing it to a p-series using the Comparison Test. 00 6 Σ V4n2 + 5 n=1 Select the correct answer below: The series converges. The series diverges. It cannot be determined. FEEDBACK Content attribution knewton.com – 2 hours 0/20 QUESTION 4 . 1 POINT Calculate the limit. lim () n8 In (n) n00 If the limit does not exist, enter Ø. Provide your answer below: n8 lim no In(n) FEEDBACK Content attribution QUESTION 5. 1 POINT Determine if the following series converges or diverges using the integral test. Σ. n+ 1 n=1 Select the correct answer below: The integral for the given series converges, so the series converges. The integral for the given series diverges, so the series diverges. FEEDBACK Content attribution QUESTION 6. 1 POINT For the function f(x) = -4 tan-|(2x), find a power series representation for f by integrating the power series for f’. Provide your answer below: n=0 FEEDBACK Content attribution QUESTION 7.1 POINT Find the Maclaurin polynomial p3(x) for f(x) = 34. Provide your answer below: knewton.com – 2 hours 0/20 QUESTION 4 . 1 POINT Calculate the limit. lim () n8 In (n) n00 If the limit does not exist, enter Ø. Provide your answer below: n8 lim no In(n) FEEDBACK Content attribution QUESTION 5. 1 POINT Determine if the following series converges or diverges using the integral test. Σ. n+ 1 n=1 Select the correct answer below: The integral for the given series converges, so the series converges. The integral for the given series diverges, so the series diverges. FEEDBACK Content attribution QUESTION 6. 1 POINT For the function f(x) = -4 tan-|(2x), find a power series representation for f by integrating the power series for f’. Provide your answer below: n=0 FEEDBACK Content attribution QUESTION 7.1 POINT Find the Maclaurin polynomial p3(x) for f(x) = 34. Provide your answer below: 5:57 Done O knewton.com AA ~ 2 hours 0/20 FEEDBACK Content attribution QUESTION 19. 1 POINT Determine the sum of the convergent series below. 00 Σ() (-2)2n71-n n=1 Provide your answer below: -n I (-2)2171 n=1 FEEDBACK Content attribution QUESTION 20. 1 POINT 00 Using the limit comparison test with a comparison series of determine if the series below n n=1 converges or diverges. 12elln TM8 12e n n=1 Select the correct answer below: The series converges. The series diverges. It cannot be determined. FEEDBACK Content attribution SUBMIT r >
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