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Partial Sums of Infinite Series - Page 5

Questions
  • 2. Find the first 3 terms of the Taylor series for ๐‘“(๐‘ฅ) = sin ๐œ‹๐‘ฅ centered at ๐‘Ž = 0.5. Use your answer to find an approximate value to ๐‘ ๐‘–๐‘› (๐œ‹/2+๐œ‹/10). How to do?
  • What is the value of #lim_(n->oo)sum_(r=1)^n({r^2x})/n^3# , if #{.}# denotes the fractional part of the function?
  • If #lim_(x->0)(1/x^3)(1/sqrt(1+x)-(1+ax)/(1+bx))# exist, find the values of a, b. How can i solve this?
  • What is the interval of convergence of #sum_{n=0}^{oo}[log_2(\frac{x+1}{x-2})]^n#? And what's the sum in #x=3#?
  • #\lim _{n\to \infty }\sum _{i=1}^n\frac{3}{n}[(\frac{i}{n})^2+1]#.........??
  • Ap Calculus BC 2002 Form B Question 6??
  • How to calculate sum of series:#sum_(n=0)^oor^nsin(nx) # and #sum_(n=0)^oor^ncos(nx)#? (i don't have specifications for #r#).
  • Exists some #x# for which #sum_{k=0}^oo [log(-x)]^-k# converges, and what is the sum?
  • How to write the statement #S_1,S_2,S_3#? Thanks!
  • #lim_(n->oo)(Sin n+cos n)^n# Find the value? Thanks
  • Someone could help me please? lim x --> + infinity 2 - 1/x + 4/x^2
  • Is there a summation rule for continuous functions?
  • Is #sum_"n=1"^infty 3^(1 - n) * 5^(n/2)# convergent or divergent? if it's convergent, find its sum.
  • Lim. f(x)=(x^2-x)/(2x^2 +5x-7) x โ†’ 1 Someone can help me ?
  • Sum of (k+1)/(10^k) where k is from 0 to infinite?
  • If #sum_(i=1)^(n) cos(A_i) = n# then find #sum_(i=1)^(n) sin(A_i)#?
  • Given p>0,the series of#sum_ (n=1)^oo p^n*n^p# will diverge when the values of p is?
  • Does the series #sum_{n=1} ^oo (2)/(n^2sqrtn)# converge or diverge?
  • Math HL IA topic suggestions???