Determine if diverges or converges. If it converges, find it limit a) an cos(2) b) an O n+1 c) an = (1 + n)" dan cos() e) an- f) an sen(5m) a) an cos(2) b) an O n+1 c) an = (1 + n)" dan cos() e) an- f) an sen(5m)
Show that M8 converges/diverges C + n² + 1 n=1
Determine whether the series converges or diverges. e8/n n n = 1 converges diverges
Determine whether the series converges or diverges. n = 1 converges diverges
1) Show that Σ COSNTT N converges/diverges. N-1 2) Find the sum Σ e-N N-1 00 n 3) Show that Σ converges/diverges n=1 + 1
1 7) Show that the series converges/diverges 1 1 8) Show that the sequence a N + 1 N+ 1 is monotonic.
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"
(1) Suppose that Σ an converges and Σ bn diverges. Show that Σ (an +b.) diverges. (1) Suppose that Σ an converges and Σ bn diverges. Show that Σ (an +b.) diverges.
HW: Show that the series __, an n=0 converges whenever ſal < 1, and diverges whenever al > 0.
3. Determine if the series cos (nm)73 converges or diverges. If it converges, find the sum of the series NO