Calculus 2. Please use best handwriting as possible thank you! 10) Determine if the series $21"...
Calculus 2. Please use best handwriting as possible thank you! Determine if the scrics (-1) 21 is convergent or divergent: 71 14) State a series that is conditionally convergent and justify your answer: 15) Verify that the scrics 42 converges and find the sum: - n(n+2)
Calculus 2. Please use best handwriting as possible thank you! 5) Define Ža. converges to Se R in your own words (21 words or less): (4 pc 6) Given 21 19 17 15 43'85 127 169 write an expression for the term of the sequence and determine converg (61 7) Determine if the series Ž(21)" is convergent or divergent: ( 214 8) Evaluate lim 1+ 9) Determine if the series 2n is convergent or divergent: 2n24 + 3n-1
Calculus 2 Please use best handwriting as possible! Thank you Given /(x) = show the details of how to obtain the 3 MacLaurin polynomial for this function (6 p 17) Given f(x)=sin(21x), show the details of how to obtain the MacLaurin scries for this function. 18) Write 0.2121 as a fraction of two integers using a geometric series 19) Evaluate the improper integral: 21 dx x
Use the Integral Test to determine whether the series is convergent or divergent. ∞ n n2 + 8 n = 1 Evaluate the following integral. ∞ 1 x x2 + 8 dx Since the integral finite, the series is . Use the Integral Test to determine whether the series is convergent or divergent. n2 8 Evaluate the following integral. OO dx Since the integral ---Select--- finite, the series is ---Select---
Use the Integral Test to determine whether the series is convergent or divergent. ∞ n n2 + 2 n = 1 Evaluate the following integral. ∞ 1 x x2 + 2 dx
Please show ALL work and steps and an explanation as to why the series is convergent or divergent Use the Integral Test to determine whether the series is convergent or divergent. oo -5n ne n = 1 Evaluate the following integral. -5x dx 59 xe Since the integral ---Select--- finite, the series is ---Select--- -
Use the Integral Test to determine whether the series is convergent or divergent. ne-n n = 1 Evaluate the following integral. dx Since the integral --Select--- finite, the series is ---Select---
Prob. 6 (a) (10 points) Use the Integral Test to determine whether the series is convergent or divergent. n(Inn) n2 (b) (10 points) Determine if the series converges or diverges. Mention which test you used. M8 n
Please explain how to get this answer. Thank you Determine whether the series is convergent or divergent. 4n – 1 n = 1 O convergent divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.) DIVERGES
In your answer state: (a) whether the above series Use the Limit Comparison Test to determine whether the following series is convergent or divergent Σ n +5 3 nin +4 is convergent or divergent, and (b) which series did you compare with the series is divergent, compare with E1 nin the series is convergent, compare with E 1 2. n=in the series is convergent, compare with E 1 nain the series is divergent, compare with 21 nin 1 the series...