Question

The limit $\lim _ { x \rightarrow \infty }$ $\frac{(2x + 1)^{40}(4x–1)^{5}}{(2x + 3)^{45}}$ is

• A. 16
• B. 32
• C. 24
• D. 8

Answer 1

Answer: (B)

32

Answer 2

$\lim _ { x \rightarrow \infty }$ $\frac { ( 2 x + 1 ) ^ { 40 } ( 4 x - 1 ) ^ { 5 } } { ( 2 x + 3 ) ^ { 45 } }$= = $\frac { 4 ^ { 5 } } { 25 }$= 2⁵ = 32