[/size]The purpose of computing the upper and lower limit of {Sn} from an expression is to determine the maximum and minimum possible values of {Sn} based on the given expression. This can help in analyzing the behavior and range of {Sn} and can also provide valuable information for further calculations and comparisons.
To compute the upper and lower limit of {Sn} from an expression, you can use the formula: Upper Limit = n(a + b), Lower Limit = n(a - b) where n represents the number of terms in the expression, and a and b represent the first and last terms of the expression, respectively.
Yes, the upper and lower limit of {Sn} can be the same. This would happen when all the terms in the expression have the same value. In this case, the expression would have a constant value, and the upper and lower limit would be equal to that value multiplied by n.
There are no restrictions on the values of {Sn} when computing the upper and lower limit. However, it is important to note that the expression must have a finite number of terms in order for the limits to be well-defined.
Computing the upper and lower limit of {Sn} from an expression can be useful in various real-world applications, such as in statistics, finance, and engineering. It can help in analyzing data and making predictions, evaluating investment risks, and designing structures with specific performance limits, among others.