Question

please solve the 7th question​

Answer 1

Answer:

2/9

Step-by-step explanation:

1. By evaluating the limit of the top of the fraction we get 0

By evaluating the limit of the bottom of the fraction we also get 0.

2. Since the expression 0/0 is an indeterminate form, we try to transform the expression.

(a - b) (a + b) = a^2 - b^2

lim (x^2/3 - 9/ x -27)

x -> 27

a ^m/n = n^√a^m

lim ( 3^√x^2 - 9/ x - 27)

x -> 27

lim ( 3^√x^2 - 9/ x - 27 *  3^√x^4 + 9^√x^2 + 81/  3^√x^4 + 9^√x^2 + 81)

x -> 27

Answer: 2/9