Please help me answer these. I need it urgently ASAP. Please Your justification should specifically refer to
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Please help me answer these. I need it urgently ASAP. Please
Your justification should specifically refer to the geometric interpretations of the series terms. You should also directly appeal to the ability (or lack of ability) to continually refine the error between the overestimates and underestimates of the series' limiting value. Finally, you should include any calculations that you made when employing a convergence test. In this conceptual assessment, you will give two separate arguments for the convergence or divergence of the infinite series depicted in the following GeoGebra application. This application interprets the terms in an infinite series as areas being progressively added to make the area of some object. Use the following random number generator to get a height and a width for the rectangle in the applet.Argue whether this series converges or not in the fol lowing ways: 1. Argue geometrically by talking about over and underestimates of the unknown value of the innite series. As the terms of the series add area to the visualized object, argue whether or not it is possible to give both over and underestimates of the total area being formed by series, and whether or not it is possible to always reduce the error between the over and underestimates of the area being constructed. If it converges, give the area to which the series will converge. . Find a representation for this series in terms of the sums of a sequence, and use convergence tests to determine whether or not this series will converge. If it converges, give the area to which the series will converge. Generate New Values You may enter the randomly generated height and width values into the input boxes in the bottom left corner of the applet. The applet is depicting the partial sums of an innite series. The terms in the innite series ll in the new rectangles shown in the "Zoom Box", and in the globally viewed rectangle as well. You may click the "Add Term" button to see the total area represented by the next term in the innite series. You may click "Reset" to start at N=O. After two new terms, you may click "Zoom in" to move the zoom box forward. This allows you to see how the terms progress even if the areas are quite small. Notice that the zoom box moves to cover a smaller region on the left global rectangle. In this assignment, you will prepare and submit a document with your responses to this activity. Your solution should not only be an answer to the question but should include a convincing argument for the correctness of your proposed solution. This argument should contain all elements of mathematical and scientic discourse discussed on the Any claims you make should be backed up by evidence, and you should include a justication that links the evidence to the claim and incorporates appropriate convergence tests or appropriate appeals to overestimates and underestimates of the possible limiting value. Your evidence should include a description of the information gained from the applet from which you determined your answer. You must include your randomly generated height and width to receive credit.
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