converge or diverge using what test (-1) n=1 nzo 00 E Inlinn) nez 00 E n! 2n h3
Use the Ratio Test to determine whether the series is convergent or divergent. 00 Σ n=1 Identify an Evaluate the following limit. lim an + 1 an Since lim an+ 1 an ? 1, --Select---
Please show work, thank you. 1) Find a power series and radius of convergence for X x + 10 lim 2) Suppose that [bn+1xn+1 bnxn converges for all || < 2. Use the ratio test to conclude that <1 n-00 bn. -xh n=0 n + 1 converges for |«/ < 2.
Please do both questions. Q5 (5 points) Using the comparison test, determine if the series 2” vn +1 converges or diverges. n n=1 Q6 (5 points) 00 n Using the comparison test, determine if the series converges or diverges. n3 +n +3 n=1
Find the radius of convergence, R, of the series. 00 2(-1)"nx" n = 1 R= Find the interval, 1, of convergence of the series. (Enter your answer using interval notation.) I =
а Use the Ratio Test to determine if the following series converges absolutely or diverges. 00 (-1)" n? (n+ (n + 6)! n=1 n!54n .us Since the limit resulting from the Ratio Test is (Simplify your answer.) the Ratio Test is inconclusive. the series diverges. the series converges absolutely. s - & Vel
What is the order of the following growth function expressed using Big-Oh notation: T(N)=7*N3 + N/2 + 2 * log N + 38 ? O(2N) O(N3) O(N/2) O(N3 + log N)
est the series below for convergence using the Ratio Test 21 n! he limit of the ratio test simplifies to lim lf(n) where Preview Preview The limit is: (enter oo for infinity if needed) Based on this, the series Diverges Converges Test the series below for convergence using the Root Test. 22 E 2n +4 5n + 6 R=1 The limit of the root test simplifies to lim f(n) where 100 f(n) = Preview Preview The limit is: 1 (enter...
Question 4 (1 point) Consider Lit, N3-, and F. Which ratio should be the largest? (radius Li+)/(radius N3-) O (radius N3-)/(radius Lit) O (radius F")/(radius Lit) (radius Li+)/(radius F") haction 11 Question 3 (1 point) The spheres below represent atoms of Si, Ge, C, and Sn (not necessarily in that order). r=75 pm r=140 pm r=110 pm (b) r=120 pm (c) Which one of these spheres représents an atom of Si? sphere (c) sphere (b) sphere (a) Osphere (d)
Use the Ratio Test to determine whether the series converges ab 00 2k Σ k 149 k= 1 Select the correct choice below and fill in the answer box to compl (Type an exact answer in simplified form.) O A. The series converges absolutely because r = OB. The series diverges because r= O c. The Ratio Test is inconclusive because r=