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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![**Question:**
Write the following limit as a definite integral:
\[
\lim_{{n \to \infty}} \frac{1}{n} \sum_{{j=1}}^{n} \left( \frac{j}{n} \right)^6
\]
**Options:**
- (a) \(\int_0^1 x^6 \, dx\)
- (b) \(\int_1^2 x^5 \, dx\)
- (c) \(\int_1^2 x^6 \, dx\)
- (d) \(\int_0^1 x^5 \, dx\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7e71e459-267b-4c65-984a-67009d5ae993%2F7dd36cb8-fb7f-45b0-9f75-99eeac0654a8%2Fmxc4nl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
Write the following limit as a definite integral:
\[
\lim_{{n \to \infty}} \frac{1}{n} \sum_{{j=1}}^{n} \left( \frac{j}{n} \right)^6
\]
**Options:**
- (a) \(\int_0^1 x^6 \, dx\)
- (b) \(\int_1^2 x^5 \, dx\)
- (c) \(\int_1^2 x^6 \, dx\)
- (d) \(\int_0^1 x^5 \, dx\)
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