Q1) (22 p) Looks like real questions... It's not.. Remember the lectures. Show that >(-1)"+1. = 2 (2n)! n=1 and n2n-1 2(-1)"+1, = 0. (2n – 1)! - n=1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 63RE
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Hint for the Q.1
The solution for the Q.1 may take just a few lines. That means;
(a) Even a single line solution is possible (a bit extreme though) .so..
(b) Think first, act later.
A teaser;
+
4!
6!
+... = 2
8!
-
-
2!
1/2
..good luck
Q1) (22 p) Looks like real questions... It's not.. Remember the lectures. Show that
Σ
(-1)"+1,
= 2
(2n)!
n=1
and
2n-1
(-1)"+1,
= 0.
(2п — 1)!
n=1
Transcribed Image Text:Hint for the Q.1 The solution for the Q.1 may take just a few lines. That means; (a) Even a single line solution is possible (a bit extreme though) .so.. (b) Think first, act later. A teaser; + 4! 6! +... = 2 8! - - 2! 1/2 ..good luck Q1) (22 p) Looks like real questions... It's not.. Remember the lectures. Show that Σ (-1)"+1, = 2 (2n)! n=1 and 2n-1 (-1)"+1, = 0. (2п — 1)! n=1
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