In 1734, Leonhard Euler informally proved that An elegant proof is outlined here that uses the inequality cot 2 x 1 x 2 1 cot 2 x (provided that 0 x 2) and the identity a Show that b Use the inequality in part (a) to show that c Use the Squeeze Theorem to conclude that 2 TI 1 6 k2 k 1 n(2n 1) TT E ...

a Starting with cot x b Substitute n2n1 3 1 ...

In 1734, Leonhard Euler informally proved that An elegant proof is outlined here that uses the inequality

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In 1734, Leonhard Euler informally proved that .2 TI 1 6 ° k2 k=1 An elegant proof is outlined here that uses the inequality

cot² x < 1/x² < 1 + cot² x (provided that 0 < x < π/2) and the identity

n(2n – 1) TT E cot? ko , for n = 1, 2, 3, . . . , where 0 3 2n + 1

a. Show that

b. Use the inequality in part (a) to show that

c. Use the Squeeze Theorem to conclude that

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Question Posted: Apr 13, 2019 09:41 AM

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In 1734, Leonhard Euler informally proved that An elegant proof is outlined here that uses the inequality

Question:

.2 TI 1 6 ° k2 k=1 n(2n – 1) TT E cot? ko , for n = 1, 2, 3, . . . , where 0 3 2n + 1

Step by Step Answer:

a Starting with cot x b Substitute n2n1 3 1 ...View the full answer

Calculus Early Transcendentals

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