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We will use l´Hopital´s rule for calculating limits involving indeterminate form (in this case: ∞ / ∞ ) using the derivative of the numerator and denominator:
This is still form ∞/∞ and we will use the derivative again:
=1/∞ = 0
The sequence converges.
The sequence converges.
By using the graph (see attachment), the coordinates of the y-intercept of the parabola is (0, 7).
<h3>What is a graph?</h3>A graph can be defined as a type of chart that's commonly used to graphically represent data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
In Mathematics, the y-intercept of any graph (parabola) occurs at the point where the value of "x" is equal to zero (0).
By critically observing the graph (see attachment), the coordinates of the y-intercept of the parabola is given by:
y-intercept = (0, 7).
Read more on y-intercept here: brainly.com/question/19576596
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