Question

计算2ⁿsinx/2ⁿ的极限

Answer 1

lim(n-->∞) (2ⁿ⁺¹ + 3ⁿ⁺¹)/(2ⁿ + 3ⁿ) = lim(n-->∞) [2ⁿ(2) + 3ⁿ(3)]/(2ⁿ + 3ⁿ)，之後分子分母都除以3ⁿ = lim(n-->∞) [(2/3)ⁿ(2) + 3]/[(2/3)ⁿ + 1]，...