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Nesta aula, nós vamos aprender como calcular limites no infinito algebricamente para funções polinomiais e racionais.
Q1:
Determine l i m π₯ β β 2 6 π₯ π₯ β 6 .
Q2:
Determine l i m ο β β ο 1 6 π₯ + 8 9 π₯ + 3 .
Q3:
Encontre os valores de π e π , dado que l i m ο β β π ( π₯ ) = β 4 e l i m ο β ο« π ( π₯ ) = 5 , onde π ( π₯ ) = β π π₯ β 5 4 π π₯ β π₯ + 4 ο¨ ο¨ .
Q4:
Determine l i m π β β 5 5 5 5 π ο οΌ π + 1 π ο β π ο’ .
Q5:
Determine l i m π₯ β β 4 3 2 4 3 2 3 π₯ β π₯ β π₯ + 3 π₯ + 2 π₯ β 8 π₯ β π₯ β 5 π₯ β 8 .
Q6:
Determine l i m π₯ β β 4 3 2 4 3 2 8 π₯ β 4 π₯ β 2 π₯ + 9 π₯ β 6 β 5 π₯ β 6 π₯ β 2 π₯ β 7 π₯ + 3 .
Q7:
Encontre l i m π₯ β β 2 3 π₯ β 6 β 9 π₯ β 4 π₯ + 4 .
Q8:
Determine l i m π₯ β β 3 2 3 2 π₯ β π₯ β 9 π₯ + 2 ( β 2 π₯ + 5 ) .
Q9:
Determine l i m π₯ β β 3 2 2 ( β 5 π₯ + 4 ) ( 2 π₯ + 4 ) ( π₯ + 2 ) ( 5 π₯ + 1 ) .
Q10:
Determine l i m π₯ β β 8 π₯ + 7 6 | π₯ | β 2 .
Q11:
Calcule l i m π₯ β β 2 ο» 9 π₯ β β 4 9 π₯ β 7 π₯ β 5 ο .
Q12:
Determine l i m π₯ β β 2 2 ο» β 6 4 π₯ + 3 π₯ + 4 β β 4 π₯ + 2 π₯ ο .
Q13:
Se l i m π₯ β β 2 ο» β π π₯ β 6 π π₯ + 2 β 7 π₯ ο = β 1 8 7 , determine os valores de a e b.
Q14:
Encontre l i m π₯ β β 2 π₯ ο» β 3 6 π₯ + 3 π₯ + 3 β 3 π₯ ο .
Q15:
Encontre l i m π₯ β β β 4 β 3 β 2 β 1 β 4 β 3 β 2 β 1 β 2 π₯ + 8 π₯ β π₯ + 9 π₯ β 4 2 π₯ β 6 π₯ + 7 π₯ + 6 π₯ + 3 .
Q16:
Determine l i m π₯ β β 2 2 οΎ 4 π₯ β 3 β 6 π₯ + 3 + 8 π₯ β 7 π₯ + 3 β 9 π₯ + 5 π₯ + 5 ο .
Q17:
Determine l i m ο β β ο¨ ο¨ β 3 π₯ β 4 π₯ + 8 .
Q18:
Determine l i m ο β β ο¨ ο¨ ο¨ ο¨ οΉ 5 π₯ + 3 ο ( π₯ β 5 ) ( 4 π₯ β 3 π₯ ) , se existir.
Q19:
Se π ( π₯ ) Γ© uma função polinomial de π π’ π π π‘ π β , e π ( π₯ ) Γ© uma função polinomial de π π’ π π π‘ π β , encontre l i m ο β β ο« π ( π₯ ) 4 π₯ π ( π₯ ) .
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