Question

Please help me ........
.
Find the following limit.​

Answer 1

Answer:

1/3

Step-by-step explanation:

x^⅓ -4

= (x^⅙)² - 2²

= ((x^⅙) -2)((x^⅙) +2)

a²-b² = (a+b)(a-b)

(x^⅙ - 2) / (x^⅓ - 2²)

= (x^⅙ -2)/((x^⅙)-2)(x^⅙) +2) = 1/ ((x^⅙)+2)

lim 1/((x^⅙) +2)

x-->64

= 1/(64^⅙+2) = 1/((2⁶^⅙)+2) = 1/(1+2) =1/3