Answered: 2. (a) For n ≥ 0 and x E R, prove that… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.4: Values Of The Trigonometric Functions

Problem 22E

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real analysis

1111
2. (a) For n > 0 and x € R, prove that
(b) Prove
n
Σ(*) (
k=0
n
x*(1 − x)n-k
Σκ« - 1)(*)*(1 – g)*-* = r'n(n - 1).
Σκ(κ
k=0
(c) Finally prove Lemma 6 in Lecture 3:
k=0
= τη.
Σ
(k – n
na) ² (1) 2² (1-2)^
|x^(1 − x)n-k = x(1 − x)n.
του -

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