1 7) Show that the series converges/diverges 1 1 8) Show that the sequence a N...
n 7) Determine if the series converges or diverges med n? - 2n-1 determine for what x-values it converges absolutely and for what x- (2x-11)" 8) For the power series n? values it converges conditionally
Determine whether the series converges or diverges. n = 1 converges diverges
Determine whether the series converges or diverges. e8/n n n = 1 converges diverges
Show whether the series converges or diverges 18. n +1 (-1) 2 19. n! e-n 20. n" Show whether the series converges or diverges 18. n +1 (-1) 2 19. n! e-n 20. n"
In questions 1-8, find the limit of the sequence. sin n cos n 2. 37 /n sin n 3. 4. cos rn 5. /n sin n o cos n n! 9. If c is a positive real number and lan) is a sequence such that for all integer n > 0, prove that limn →00 (an)/n-0. 10. If a > 0, prove that limn+ (sin n)/n 0 Theorem 6.9 Suppose that the sequence lan) is monotonic. Then ta, only if...
just number 8 please and show work thank you Determine whether the series converges or diverges, and explain why. If it is a geometric series that converges, find the sum. 1 6) n-3 n=1 MoMo Mo 7) n= 5 ani 8) n+4 an
3. Find a sequence {an} ™-1 such that the series an converges, but the series a diverges. =1 n= 1 Show that your sequence has the desired properties.
HW: Show that the series __, an n=0 converges whenever ſal < 1, and diverges whenever al > 0.
8-31 Determine whether the series - converges or diverges. If it converges, find the sum. (If the quantity diverges, enter DIVERGES.) Son 8-31 n=1 - = nsion Determine whether the series converges absolutely, conditionally, or not at all. (-1) - 1 n1/2 n=1 The series converges absolutely. The series converges conditionally. The series diverges. For which values of x does (n + 4)!x converge? n = 0 (-0,00) (-1,1) O no values exist O x = 0 (-4,4) Find the...
Determine if the series converges or diverges; if the series converges, find its sum 3 [(-1)-1 7 nu OA Converges; 1/6 OB Converges; 3/8 OC Converges: 1/2 C D Diverges: -00 of Converges: 1/8