{\displaystyle \lim _{n\to \infty }{\frac {1}{n}}=0}{\displaystyle \lim _{n\to \infty }{\frac {1}{n}}=0}

The limit is true and it exists

Step-by-step explanation:

Given the limit

To show that the given limit is true, we will simply replace n with ∞

On substituting

Hence the given limit is true and it exists since we got a finite value. Note that for any constant a, lim n ->∞ a/n = 0

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

step-by-step explanation: