The following sum where b = and f(x) √√√√√»-()': - ( 5 )² · 5 + √/25 - (10) ².5 + ...- + n n is a right Riemann sum for the definite integral = 25- The limit of these Riemann sums as n → ∞ is [ f(x) dx 25- 5n n 2 م . مد 5 n

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 74E
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The following sum
2
5
5n
√(): + √(9)':
25-
+ 25-
n
n
n
is a right Riemann sum for the definite integral
where b =
and f(x)
The limit of these Riemann sums as n → ∞ is
25-
5- (10) ².
5
+
n
[ f(x) dx
5
n
Transcribed Image Text:The following sum 2 5 5n √(): + √(9)': 25- + 25- n n n is a right Riemann sum for the definite integral where b = and f(x) The limit of these Riemann sums as n → ∞ is 25- 5- (10) ². 5 + n [ f(x) dx 5 n
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