Question

O valor do limide de
$lim \: \frac{{sen}^{5} 2x}{4 {x}^{5} }$
x-->0

é:

a) 1
b) 3
c) 4
d) 6
e) 8

Answer 1

a letra 6 espero ter ajudado

Answer 2

lim ((sen 2x)^5)/(4x^5)

x-->0

(1/4) * lim ((sen 2x)^5)/(x^5)

          x-->0

(1/4) *lim ((sen 2x)/x )⁵

          x-->0

(1/4) * ( lim (sen 2x)/x )⁵

           x-->0

(1/4) * ( lim (2 * (sen 2x)/2x )⁵

            x-->0

(1/4) * 2⁵ * ( lim (sen 2x)/2x )⁵

                  x-->0

*********************************

Limite fundamental

Lim (sen u)/u =1

u-->0

*********************************

(1/4) * 2⁵ * ( lim (sen 2x)/2x )⁵

                   x-->0

(1/4) * 32 * ( 1 )⁵ =32/4 = 8

Letra E