Let f:[a,b]→ R. Which of the following conditions on f is sufficient to conclude that f is NOT Riemann integrable over the interval [a,b]? Select one: a. none of the given options form a list of sufficient conditions to conclude that f is not Riemann integrable on [a,b]. b. There is a sequence (a,) in [a,b] such that f(a,)→∞ as n → 0. c. f is not monotone in [a,b]. d. f has a finite number of discontinuities in [a,b].

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
Let f:[a,b] → R. Which of the
following conditions on f is
sufficient to conclude that f is NOT
Riemann integrable over the interval
[a,b]?
Select one:
a. none of the given options
form a list of sufficient
conditions to conclude that f is
not Riemann integrable on [a,b].
b. There is a sequence (a,) in
[a,b] such that f(a,)→
- 0 as
n → 0.
c. f is not monotone in [a,b].
d. f has a finite number of
discontinuities in [a,b].
Transcribed Image Text:Let f:[a,b] → R. Which of the following conditions on f is sufficient to conclude that f is NOT Riemann integrable over the interval [a,b]? Select one: a. none of the given options form a list of sufficient conditions to conclude that f is not Riemann integrable on [a,b]. b. There is a sequence (a,) in [a,b] such that f(a,)→ - 0 as n → 0. c. f is not monotone in [a,b]. d. f has a finite number of discontinuities in [a,b].
Question 1
Let f:[a,b]→R be a positive-valued function. Which of
the following conditions on f is sufficient to conclude
that f is NOT Riemann integrable over the interval [a,b]?
Not yet
answered
Marked out of
2.00
Select one:
P Flag question
O a. none of the given options form a list of sufficient
conditions to conclude that f is not Riemann
integrable on [a,b].
O b. f has more than one point of discontinuity in [a,b].
C. There is a sequence (a,) in [a,b] such that
1
-0 as n 0.
fla,)
O d. f is not a step function.
Lr
Transcribed Image Text:Question 1 Let f:[a,b]→R be a positive-valued function. Which of the following conditions on f is sufficient to conclude that f is NOT Riemann integrable over the interval [a,b]? Not yet answered Marked out of 2.00 Select one: P Flag question O a. none of the given options form a list of sufficient conditions to conclude that f is not Riemann integrable on [a,b]. O b. f has more than one point of discontinuity in [a,b]. C. There is a sequence (a,) in [a,b] such that 1 -0 as n 0. fla,) O d. f is not a step function. Lr
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