Download - Clase 7 (limites de funciones exponenciales)
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LΓmites de funciones
exponenciales
limπββ
1 +1
π
π=e
limπ₯β0
( 1 + 4π₯)1π₯
limπββ
1 β1
π
5π=
π
0= β
π
β= 0
limπββ
1 +1
π+2
π=
limπ₯β0
( 1 + π₯)1π₯ = π
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LΓmites de funciones
exponenciales
limπββ
1 +1
π
π=e
π
0= β
π
β= 0
limπ₯ββ
1 β5
2π₯
β3π₯=
limπ₯β0
( 1 + π₯)1π₯ = π
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π
0= β
1
β= 0
β
β= πΌππππ‘ππππππππ
limπββ
(4π3 + 2π
5π3 β 2)
2π+1π2
β
β=
π ππ’πππππππ > π πππππππππππ β β
π ππ’πππππππ π πππππππππππ β 0
π ππ’πππππππ = π πππππππππππ β π·ππ£ππππ πππ ππππππππππ‘ππ ππ’π ππ’ππ‘πππππππ π πππ π ππ πππ¦ππ πππππ
(π)0= 1
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limπββ
( 1 +1
π + 2)πβ1
π
0= β
π
β= 0
limπββ
1 +1
π
π=e
π0 = 1
πβ = β
πββ =1
πβ= 0
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limπββ
(2π + 1
2π + 4)
π2
π+1
limπββ
ππ = 1β = πlim
πββπ(πβ1)