Consider the integral e-e I where tanh(r) e +e=' In an attempt to study the convergence of I, we consider the two integrals / [t – tanh?(z)] e* dz (a) (b) (c) I = = / [1 – tanh?(z)] e#" da, I₁ Does I converge or diverge? Does 1₂ converge or diverge? Does I converge or diverge? and 12: - 60 1¹- – - tanh?(z)] e* dr.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the integral
e
where tanh(r) e +e
(a)
(b)
(c)
In an attempt to study the convergence of I, we consider the two integrals
-
| [t – tanh?(a)] e" da
I₁
I
=
= / [1 – tanh?(z)] e® dr,
∞
Does I converge or diverge?
Does I₂ converge or diverge?
Does I converge or diverge?
and
roo
12 = | [1 – tanh?(z)]e# dr.
Transcribed Image Text:Consider the integral e where tanh(r) e +e (a) (b) (c) In an attempt to study the convergence of I, we consider the two integrals - | [t – tanh?(a)] e" da I₁ I = = / [1 – tanh?(z)] e® dr, ∞ Does I converge or diverge? Does I₂ converge or diverge? Does I converge or diverge? and roo 12 = | [1 – tanh?(z)]e# dr.
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