] (a) ] (b) If ƒ is continuous on [0, ∞) and 1 then X 1.00001 da is convergent. 8 S f(x) dx is convergent. f(x) dx is convergent, ] (c) If ƒ is continuous and 0≤ f(x) ≤ e¯ª on [0, ∞), then S.. f(x) dx is converg

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Fast pls solve this question correctly in 5 min pls I will give u 3 like indeed Sini Choose all statements that are correct.
(a) S
(b) If f is continuous on [0, ∞) and
1
1.00001
then [ f(x) da is convergent.
(g)
dx is convergent.
(c) If f is continuous and 0 ≤ f(x) ≤ e¯ª on [0, ∞), then
(d) If f is continuous, then [ f(x) dx = lim ff(x) dr.
t →∞
t
(e) If f(x) ≤ g(x) and
then
∞
S
S™ g(x) dx is divergent, then
(f) If f is continuous, decreasing on [0,∞) and limf(x)=0,
∞
∞
∞
∞
f(x) da is convergent,
f(x) da is convergent.
sinx dx = 0
X-8
∞
f(x) dx is convergent.
ƒ(a) da also diverges.
Transcribed Image Text:(a) S (b) If f is continuous on [0, ∞) and 1 1.00001 then [ f(x) da is convergent. (g) dx is convergent. (c) If f is continuous and 0 ≤ f(x) ≤ e¯ª on [0, ∞), then (d) If f is continuous, then [ f(x) dx = lim ff(x) dr. t →∞ t (e) If f(x) ≤ g(x) and then ∞ S S™ g(x) dx is divergent, then (f) If f is continuous, decreasing on [0,∞) and limf(x)=0, ∞ ∞ ∞ ∞ f(x) da is convergent, f(x) da is convergent. sinx dx = 0 X-8 ∞ f(x) dx is convergent. ƒ(a) da also diverges.
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