Question

`lim_{x→∞} ((3x + 3)^40(9x - 3)^5)/(3x + 1)^45` = ______ 

विकल्प

• 9

• 27

• 243

• 81

Answer 1

`lim_{x→∞} ((3x + 3)^40(9x - 3)^5)/(3x + 1)^45` = 243 

Explanation:

`lim_{x→∞} ((3 + 3/x)^40(9 - 3/x)^5)/(3 + 1/x)^45 = (3^40. 9^5)/(3^45) = 3^5 = 243`