Answer:
3
Step-by-step explanation:
Evaluate the limit n - > ∞ 12n^3 - 2n^2 + 9 / 4n^3
Divide the expression by the highest power of n to have
limit n - > ∞ 12n³/n³ - 2n²/n³ + 9/n³ / 4n³/n³
= limit n - > ∞12 - 2/n + 9/n³ / 4
Substitute the value of n
= 12 - 2/∞ + 9/∞³ / 4
Since a/∞ = 0
The expression becomes;
= 12 - 0+ 0/4
= 12/4
= 3
Hence the required limit is 3
