What percent of 100 is 14
2 answers:
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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.