Σ H=I Τ n(n+1)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 28E
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Question
Solve the question in a different way in series
(49) Σ
1
MI
n(n+1)
1
nen
1
n(n+1)
n
Divergent..
+
-∞
f
A+ n(A+B)
ALATT)
1
x(x+1)
B
n+1
B
•ƒ dx + f 3 dx=-
f A
x+1
∞
dux ₁ - du (x+1),
---
= la = -du //
140
dx = f A dx + f
x
A(n+1) + Bn
n(n+1)
dx= få dn fit, dx
X+1
= du
1₁
dus-dus+duz
=du 2 (Finite)
Convergence.
da xilas -du XIII, da
=
x+1
A = 1/B=-17
X
**1
A+H(A+B)
onań (A+B) DO=A+B²-
A+B Do=1+1-
(1=-1)
t
X+1
An+A + Gn
n(n+1)
x/x
x/x+1/x
d.x
In
= dus_du ( 2 ) = dus - (dus-du 2)
Transcribed Image Text:(49) Σ 1 MI n(n+1) 1 nen 1 n(n+1) n Divergent.. + -∞ f A+ n(A+B) ALATT) 1 x(x+1) B n+1 B •ƒ dx + f 3 dx=- f A x+1 ∞ dux ₁ - du (x+1), --- = la = -du // 140 dx = f A dx + f x A(n+1) + Bn n(n+1) dx= få dn fit, dx X+1 = du 1₁ dus-dus+duz =du 2 (Finite) Convergence. da xilas -du XIII, da = x+1 A = 1/B=-17 X **1 A+H(A+B) onań (A+B) DO=A+B²- A+B Do=1+1- (1=-1) t X+1 An+A + Gn n(n+1) x/x x/x+1/x d.x In = dus_du ( 2 ) = dus - (dus-du 2)
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