Let f:[a,b] → R. Which of thefollowing conditions on f issufficient to conclude that f is NOTRiemann integrable over the interval[a,b]?Select one:a. none of the given optionsform a list of sufficientconditions to conclude that f isnot Riemann integrable on [a,b].b. There is a sequence (a,) in[a,b] such that f(a,)→- 0 asn → 0.c. f is not monotone in [a,b].d. f has a finite number ofdiscontinuities in [a,b].

Given, f:a,b→ℝ. The function f has domain in the interval a,b and has range in set of real numbers…

Answered: Let f:[a,b]→ R. Which of the

Math

Advanced Math

Let f:[a,b]→ R. Which of the

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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].

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