Question

Lim n/4n+3 Lim 3n+1/ 5n-1

Answer 1

Ответ:

4l я так думаю просто так лучше я думаю

Answer 2

To find the limits of the given expressions, we can use some basic principles of limits. Let's compute each limit separately:

1. Lim (n / (4n + 3)) as n approaches infinity:

   To find this limit, we can apply the concept of limit properties. Divide both the numerator and denominator by n to simplify:

   Lim (n / (4n + 3)) as n approaches infinity = Lim (1 / (4 + 3/n)) as n approaches infinity

   Now, take the limit as n approaches infinity:

   Lim (1 / (4 + 3/n)) as n approaches infinity = 1 / 4

   So, the first limit is 1/4.

2. Lim ((3n + 1) / (5n - 1)) as n approaches infinity:

   Again, divide both the numerator and denominator by n to simplify:

   Lim ((3n + 1) / (5n - 1)) as n approaches infinity = Lim ((3 + 1/n) / (5 - 1/n)) as n approaches infinity

   Now, take the limit as n approaches infinity:

   Lim ((3 + 1/n) / (5 - 1/n)) as n approaches infinity = (3 + 0) / (5 - 0) = 3/5

   So, the second limit is 3/5.

To summarize:

1. Lim (n / (4n + 3)) as n approaches infinity = 1/4.
2. Lim ((3n + 1) / (5n - 1)) as n approaches infinity = 3/5.