1. Evaluate the following limit by first recognizing the sum as a Riemann sum for a function defined on [0, 1]. 1 lim n-0 n 2 + 1 n n Give proper reasoning.

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 54E
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1. Evaluate the following limit by first recognizing the sum as a Riemann sum for a
function defined on [0, 1].
12
+ 1
3
n – 1
+
n
lim
n-00
n
n
n
n
Give proper reasoning.
Transcribed Image Text:1. Evaluate the following limit by first recognizing the sum as a Riemann sum for a function defined on [0, 1]. 12 + 1 3 n – 1 + n lim n-00 n n n n Give proper reasoning.
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