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Parcial 2- ejercicios, Schemes and Mind Maps of Yoga

Delaware College of Art and Design (DCAD)Yoga

es muy facil de resolver para un estudiante

Typology: Schemes and Mind Maps

2023/2024

Uploaded on 04/23/2025

mauricio-negrette-2
mauricio-negrette-2 🇺🇸

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Ejercicios.
1. Sea Ela funci´on exponencial. Definamos
S(x) = 1
2i[E(ix)−E(−ix)]
Demuestre que si 0 <x<π
2, entonces
2
π<S(x)
x<1.
2. Sea Ela funci´on exponencial. Si 0 <t<2π, demuestre que E(it)6= 1.
3. Sea SN= 1 + 1
2+1
3+· · · +1
N. Pruebe que el siguiente l´ımite existe,
l´ım
N→∞
{Sn−log N}.
1

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Ejercicios.

  1. Sea E la funci´on exponencial. Definamos

S(x) =

2 i [E(ix) − E(−ix)]

Demuestre que si 0 < x < π 2 , entonces

2 π

S(x) x

  1. Sea E la funci´on exponencial. Si 0 < t < 2 π, demuestre que E(it) 6 = 1.
  2. Sea SN = 1 +

N

. Pruebe que el siguiente l´ımite existe,

Nl´ ım→∞{Sn^ −^ log^ N^ }.