2. (a) Show that k!n-k-1 = for n>0 and ka nonnegative integer. 5. e-nxxk dx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 10E
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2. (a) Show that
k!n-k-1
(b) Hence show that as n → ∞
=
for n> 0 and ka nonnegative integer.
n
Σ (R.)
k=0
fo
JO
k!n¯¯
e-nxxk
dx
πη
√2
Transcribed Image Text:2. (a) Show that k!n-k-1 (b) Hence show that as n → ∞ = for n> 0 and ka nonnegative integer. n Σ (R.) k=0 fo JO k!n¯¯ e-nxxk dx πη √2
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