Use an appropriate test to determine whether the following series converges. E 2 k=1 k +4 k E) Select the correct choice below and ll in the answer box to complete your choice. (Type an exact answer.) 0 A. The series diverges. It is a pseries with p = Cl. 00 x O B. The series converges by the Integral Test. The value of I dx is D. 1 x2 +4 k 0 E. The series diverges by the Divergence Test. The value of lim 2 is El. k>oo k + 4 k 0 F. The series converges by the Divergence Test. The value of lim 2 is D. k>ook +4 Use an appropriate test to determine whether the following series converges. Jk2+16 2 k k=1 Select the correct choice below and ll in the answer box to complete your choice. (Simplify your answer.) Q A. The series converges. It is a p-series with p = D. O B. The series converges by the Integral Test. The value of O C. The series diverges by the Divergence Test. The value of Iim kroo O D. The series converges by the Divergence Test. The value of Iim k>oo O E. The series diverges. It is a p-series with p = D. Use an appropriate test to determine whether the following series converges. E 9k 4k k=1e E) Select the correct choice below and ll in the answer box to complete your choice. (Type an exact answer.) 00 . . 9X . O A. The series converges by the Integral Test. The value of the Integral dx Is El. 8 1 00 9x 0 B. The series diverges by the Integral Test. The value of the integral dex is El. 2 1 O c_ The series converges. It is a p-series with p = D. O D. The series diverges. It is a p-series with p = E. 9k 0 E. The series converges by the Divergence Test. The value of lim W is . k>oo 8 9k 0 F. The series diverges by the Divergence Test. The value of lim W is . kmoe Use an appropriate test to determine whether the following series converges. Select the correct choice below and ll in the answer box to complete your choice. (Simplify your answer.) 0 A. The series diverges. It is a pseries with p = El. 00 5 O B. The series converges by the Integral Test. The value of I dx is D. 1 34; 5 O C. The series diverges by the Divergence Test. The value of lim 3 is El. kmo k 0 D. The series converges. It is a pseries with p = D. . . . 5 . O E. The series converges by the Divergence Test. The value of \"m 3 Is El. k>oo k Determine whether the following series converges or diverges. 4k + 13 M 8 KS k = 1 . . . Choose the correct answer below. O A. According to the Divergence Test, the series converges because lim ak = 0. K -+ 0o O B. According to the Divergence Test, the series converges because lim a $ 0. K -+0o O C. According to the Divergence Test, the series diverges because lim a = 0. K -+ 0o O D. According to the Divergence Test, the series diverges because lim a # 0. K-+ 0o O E. The Divergence Test is inconclusive.Co Consider the series , where p is a real number. k=2 k(In k)P a. Use the integral test to determine the values of p for which this series converges. b. Does this series converge faster for p =2 or p =3? Explain. a. Integrate f(x). dx = lim 2 X( In x )P Evaluate and simplify. lim For what values of p does the series converge? The series converges for p b. Does this series converge faster for p =2 or p =3? O A. The series converges faster for p =3 because the denominator of the expression gets smaller faster. O B. The series converges faster for p=2 because the denominator of the expression gets smaller faster. O C. The series converges faster for p=2 because the denominator of the expression gets larger faster. O D. The series converges faster for p =3 because the denominator of the expression gets larger faster