Which one of the following four hairdryers can you use on a 120-V line? The safety fuse allows a maximum current of 10 A. a) Hai
1 answer:
You might be interested in
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.