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Eggdoido
@Eggdoido
December 2019
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Simplificar isto de modo a cortar o h do denominador
[Raiz cúbica(8+h) - 2]/h
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albertrieben
Boa noite
lim (³√(8 + h) - 2)/h
lim-->0
racionalize expressão
((h + 8)^(1/3) - 2)/h = (((h + 8)^(1/3) - 2) (4 + 2 (h + 8)^(1/3) + (h + 8)^(2/3))) /(h(4 + 2(h + 8)^(1/3) + (h + 8)^(2/3))) =
1/(4 + 2(h + 8)^(1/3) + (h + 8)^(2/3)) = 1/(4 + 2 + 2 + 2 + 2 ) = 1/12
2 votes
Thanks 0
Eggdoido
Tem como detalhar mais? Eu fiquei sem entender essa racionalização.. desconheço os lemas quando é raiz de 3
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lim (³√(8 + h) - 2)/h
lim-->0
racionalize expressão
((h + 8)^(1/3) - 2)/h = (((h + 8)^(1/3) - 2) (4 + 2 (h + 8)^(1/3) + (h + 8)^(2/3))) /(h(4 + 2(h + 8)^(1/3) + (h + 8)^(2/3))) =
1/(4 + 2(h + 8)^(1/3) + (h + 8)^(2/3)) = 1/(4 + 2 + 2 + 2 + 2 ) = 1/12