Prove k k+1 1 Vnk €N+, ΣΠ(+3) Σ(Π«+») -))) = x + 2 II (~ + i) Π(n k i=0 Here, the meaning of II is W Π i=1 = 1.2.... · n

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 57E
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Prove
Vn, k ΕΝ+,
Here, the meaning of II is
k
Σ(Π(+3)
j=0
Π
i=1
:))
η
II =
i=1
-
= 1.2... n
1
k + 2
k+1
ΠΟ
i=0
(n + i)
Transcribed Image Text:Prove Vn, k ΕΝ+, Here, the meaning of II is k Σ(Π(+3) j=0 Π i=1 :)) η II = i=1 - = 1.2... n 1 k + 2 k+1 ΠΟ i=0 (n + i)
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