The domain of a function are the possible input values of the function.
<em>The domain of the function is (d) Whole numbers</em>
First, we identify the start and end values of x on the graph.
We have:
The graph has no end; so:
This means that the domain of the graph is
The number of times one can visit the pool cannot be decimal.
Hence, the domain of the function is whole numbers
Read more about domain at:
Answer:
The sequence of functions converges to the function
.
Step-by-step explanation:
The limit exists and converges to zero whenever
. But, if
the sequence
is constant and all its terms are equal to
, then converges to
. Using this result, consider the sequence of functions
defined on the interval
by
. Then, for all
we have that
. Now, if
, then
. Therefore, the limit function of the sequence of functions is
.
To show that the convergence is not uniform consider . For any
choose
such that
. Then
This implies that the convergence is not uniform.
