Express the given limit as a definite integral. No need to show your work for this question.2NlimS(4t2 – t) dt1S( – 4t) dtS(? - 4t)t dt아(6)-4 (8)) 4dt

Name: Express the given limit as a definite integral. No need to show your
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Description: Express the given limit as a definite integral. No need to show your work for this question.2NlimS(4t2 – t) dt1S( – 4t) dtS(? - 4t)t dt아(6)-4 (8)) 4dt

Given that: The limit is limN→∞ ∑i =1N iN2 - 4iN×iN .

Answered: 1 S(t – 4t) dt

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Step 1

Given that:

The limit is $\lim_{N \to \infty} \sum_{i = 1}^{N} ({(\frac{i}{N})}^{2} - 4 (\frac{i}{N})) \times (\frac{i}{N})$ .

Step 2

By using the formula,

Area and limit definition:

$A = \lim_{n \to \infty} \sum_{n = 0}^{\infty} f (x_{i}) ∆ x = \int_{a}^{b} f (x) d x ∆ x = \frac{b - a}{n}, R i g h t : x_{i} = a + i ∆ x a n d L e f t : x_{i} = a + (i - 1) ∆ x$

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