Dick said:It's not right at all. You can't plug n=infinity into that. It looks like a Riemann sum approximation to an integral to me. None of the multiple choice answers that you've shown are correct either.
Biosyn said:I couldn't fit all of the choices into the frame.
The choices:
a. 0
b. 1
c. 4
d. 39
e. 125
Biosyn said:Okay , I think I did it.
(3/n) = ΔX
ΔX = (b-a)/n
so, b=3 ; a=0
xi = a + [i(b-a)]/n
xi = [0 + (3k)/n + 2]2
f(xi) = (x+2)2
The integral would be [itex]^{3}_{0}[/itex]∫(x+2)2
Biosyn said:Okay , I think I did it.
(3/n) = ΔX
ΔX = (b-a)/n
so, b=3 ; a=0
xi = a + [i(b-a)]/n
xi = [0 + (3k)/n + 2]2
f(xi) = (x+2)2
The integral would be [itex]^{3}_{0}[/itex]∫(x+2)2
The limit of summation notation is a mathematical concept used to express the sum of a sequence of terms. It represents the end point or upper bound of the sum.
The limit of summation notation is typically written as Σ or ∑ followed by the starting index below the symbol and the ending index above the symbol. For example, Σn=15 n would represent the sum of the terms n=1 to n=5.
The purpose of using limit of summation notation is to concisely represent a sum that would otherwise be lengthy and cumbersome to write out. It also allows for easier manipulation and analysis of sums in mathematical equations.
An open limit of summation notation has parentheses around the upper bound, indicating that the value is not included in the sum. A closed limit of summation notation has square brackets around the upper bound, indicating that the value is included in the sum. For example, Σn=15 n would be an open limit while Σn=15 n^2 would be a closed limit.
Yes, limit of summation notation can be used for other mathematical operations such as subtraction, multiplication, and division. The symbol Σ can be replaced with other mathematical symbols such as − for subtraction, × for multiplication, and ÷ for division.