aces9113 said:yes but I'm not entirely sure how to do them. when I do that, I am left with 60^(1/3) and then 60^(1/infinity+3) - 60^(1/infinity+4) which would end up being 60^(1/3) since the others cancel but this is wrong. what am i doing wrong?
An infinite series is a mathematical concept that involves adding an infinite number of terms together. It is written in the form of ∑n=1 an, where n is the index of the terms and an is the value of each term.
The sum of an infinite series is calculated by finding the limit of the partial sums as the number of terms approaches infinity. This is known as the limit of the series or the series convergence.
A convergent series is one in which the sum of the terms approaches a finite value as the number of terms increases. A divergent series is one in which the sum of the terms either approaches infinity or does not have a finite limit.
Some common types of infinite series include geometric series, harmonic series, and alternating series. Each of these series has a specific pattern or rule for calculating the terms.
Infinite series are important in science because they allow us to approximate and calculate values of various phenomena, such as the behavior of systems with continuously changing variables. They are also used in many mathematical models and equations in various scientific fields.