The error in what? Where did you get the number 14593/2340? I don't understand the question. Please make sure you stated it correctly.
Are you trying to approximate the sum of an infinite series?
Find a number X such that the error is less than X (The error is 14593/2340 for the sequence, 7n/(n^3+1).
How would you start to solve this problem?
2 answers
Our teacher told us that the fourth partial sum approximates the sum of the sequence 7n/(n^3+1). The fourth partial sum is also the error of the sequence and our teacher asks us to find a number X such that the error is less than X.