Let f be a positive decreasing function defined on [a, +0] such that f(x) →0as x→ + 0. Let a be bounded on [a, +0] and assume that fe R(a; a, b) forevery b 2c. Show that the integral f da is convergent.

Consider the given positive decreasing function f defined on the interval a, +∞ such that fx→0 as…

Let f be a positive decreasing function defined on [a, +co] such that f(x) →0 as x→ + o. Let a be bounded on [a,+o] and assume that fe A(a; a, b) for every b 2c. Show that the integral f da is convergent.

Let f be a positive decreasing function defined on [a, +co] such that f(x) →0 as x→ + o. Let a be bounded on [a,+o] and assume that fe A(a; a, b) for every b 2c. Show that the integral f da is convergent.

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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