we know the x-intercept of the line is 1, recall that an x-intercept is when the graph intercepts or touches the x-axis, and when that happens, y = 0, so the point is really x = 1, y = 0, namely (1,0). We also know another point on the line, is (-2, 9).
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.