November 2023 2 16 Report
PERGUNTA 3

Para facilitar o cálculo dos limites, usamos de diversas técnicas e regras, que fornecem o valor do limite sem termos que provar que o valor do limite está correto utilizando apenas a definição. Quando temos duas funções com valores do limite bem definidos, temos formas para calcular os limites da soma, diferença, produto e do quociente dessas funções.



Seja f left parenthesis x 0 space equals space fraction numerator x cubed plus 2 x squared minus 3 x plus 5 over denominator x to the power of 5 minus 3 x to the power of 4 plus 3 x minus 1 end fraction. Utilize seus conhecimentos sobre limites para calcular limit as x rightwards arrow 2 of space f left parenthesis x right parenthesis

a.
limit as x rightwards arrow 2 of space f left parenthesis x right parenthesis space equals space minus 15 over 11

b.
limit as x rightwards arrow 2 of space f left parenthesis x right parenthesis space equals space 0

c.
limit as x rightwards arrow 2 of space f left parenthesis x right parenthesis space equals space minus 1

d.
limit as x rightwards arrow 2 of space f left parenthesis x right parenthesis space equals space 15 over 11

e.
limit as x rightwards arrow 2 of space f left parenthesis x right parenthesis space equals space minus 15
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