Question

Calcule o limite anexo

c743f4d5a9289c5943a9583768b11c66.docx

Answer 1

Derivando o numerador e o denominador:

lim $\frac{5 . x^{5-1} - 3 . 6x^{3-1} + 8 - 0}{4 . x^{4-1} - 0}$
x-->1

lim $\frac{5x^{4} - 18x^{2} + 8 - 0}{4x^{3} - 0}$
x-->1


Substituindo o "x":

$\frac{5.(1)^{4} - 18.(1)^{2} + 8}{4.(1)^{3}}$ =

$\frac{5 . 1 - 18 . 1 + 8}{4 . 1} \ = \\ \\ \frac{5 - 18 + 8}{4} \ = \\ \\ \frac{-5}{4}$