Question

数学极限题求解

步骤请详细写出谢谢

Answer 1

Answer 2

假设a>b>c＞0
lim (a^n+b^n+c^n)^(1/n) ≤ lim (c^n+c^n+c^n)^(1/n) lim (b^n+b^n+b^n)^(1/n) ≤ lim (a^n+a^n+a^n)^(1/n) = lim a*3^(1/n)= a
因此,利用夹逼定理,极限值为a.