Question

Chọn kết quả đúng của

lim
√
n
3
−
2
n
+
5
3
+
5
n
.

Answer 1

The answer is 1

This is because 3^n is will be small with respect to 5^n as n tends to infinity because 5 ^n increases more rapidly.

Like 5^3 = 125 ,3^3=27

5^4=625 and 3^4=81

So we can see that value is increasing by large differences.

So we can write (5^n +3^n)÷(5^n -3 ^n) as 5^n÷5^n .This is because value of 3^n will ne negligible wrt 5^n as n tends to infinity. And 5^n÷5^n =1.