Infinite Series

Topic Page

Questions

• How can an infinite series have a finite sum?
• How do you evaluate an infinite series?
• How do you find the sum of an infinite series?
• How does an infinite geometric series apply to being pushed on a swing?
• What are infinite series used for?
• What is a convergent infinite series?
• What is a divergent infinite series?
• What is a partial sum of an infinite series?
• What is an oscillating infinite series?
• What is a telescoping infinite series?
• What is a collapsing infinite series?
• How do I sum the series #sum_(n=1)^oon(3/4)^n#?
• What is an example of a telescoping series and how do you find its sum?
• Suppose you go to a company that pays 0.03 for the first day, 0.06 for the second day, 0.12 for the third day and so on. If the daily wage keeps doubling, what will your total income be for working 30 days ?
• How to solve for x ?
• Question #d6180
• How do you find the infinite sum of a p series? EX: #1/n^2#
• Question #7bdf4
• What is importance of infinite series?
• how you solve: #lim_(n->oo)(2-sqrt2)(2-root(3)2)(2-root(4)2)...(2-root(n)2))# ?
• What is #sum_(n=1)^oo 1/n^2# ?
• How to prove that #{1/2^n}# is bounded series ?
• How do I truncate this infinite series by choosing an odd #l#?
• Find a series expansion for? : # (1-3x)^(2/3) #
• Calculate #sum_(n=0)^oo sqrt(n+3)+sqrtn-2sqrt(n+2)# ?
• Calc 2 questions super lost! Evaluate a power series to find the sum of the series, or show that the series diverges. (If a series diverges, enter DIVERGES.)? (a) #11/1-11/3+11/5-11/7+11/9-11/11+....# (b)#sum_(n=2)^oo ((-1)^n(8^n))/(n!) #
• #\sum_(n=1)^\inftyn/(n^4+1)#?
• Is the following series #6-2+2/3-2/9+2/27-2/81# convergent or divergent?
• Integrate the following using infinite #\bb\text(series)# ?
• Integrate the following using INFINITE SERIES (no binomial please)?
• Solve #\int(e^(2x))/(1+e^(4x))dx#, OR #\intx\arcsin(x)dx# using infinite series?
• Use series to evaluate limit below?
• What is #sum_(R=1)^(N) (1/3)^(R-1)#? provide steps please.