Infinite Series - Page 4

Questions
  • Does the series # sum_{n=1}^oo (5n)^(3n)/(5^n+3)^n# converge or diverge?
  • How do you find the sum of the infinite geometric series 3-1+1/3...?
  • How do you find the sum of the infinite geometric series 1/2+1/4+1/8+1/16..?
  • What are some examples of divergent series?
  • Test the series for convergence or divergence. In each case give reasons for your decision?
  • How do I find the sum of the infinite series #1/2# + 1 + 2 + 4 +... ?
  • How do I find the sum of the infinite series 1 + #1/5# + #1/25# +... ?
  • How do I use an infinite series to find an approximation for pi?
  • What are common mistakes students make with infinite series?
  • Sum from n=1 to infinity that [(n!x^n)/[1*3*5...(2*n-1)]]. Find the radius of convergence and interval of convergence?
  • How to Expand the following as power series? #e^x# and #ln(1+x)#
  • Sum from n=1 to ∞ of (-1)^n(sin(7π/n)) is the series convergent or divergent?
  • What are some examples of convergent series?
  • Can an infinite series have a sum?
  • How to determine convergence or divergence of series sigma(n=2, infinity ) #1/[sqrt(n)-1]# ?
  • How do you find the sum of the infinite geometric series 15 - 3 + 0.6 - 0.12 + . . .?
  • Does #a_n = [n(n+1)]/(n+sqrt(n))# converge?
  • Use divergent test to determine convergence of the following series?
  • How do you find the sum of the infinite geometric series 32. 30 + 22.5 + 16.875 + . . . ?
  • How do you find the sum of the infinite geometric series #(1 - x) + (x^3 – x^4) + (x^6 – x^7) + ….. + [x^(3n) - x^(3n+1)] #?