Below is the test launch data at 3 different horizontal gap lengths. I kept x = 1 for all the tests. I really need help understanding how to set up and use the data to determine if there is limits. How to determine the limit if it exists?

Test Height 15:-0.78664 Test Height 14:-0.90423 Control Horizontal Gap Length Test Height 13: 0.8523 Test Height 12: -0.86313 Test Height 11: 0.93911 Test Height 10: 0.98254 Test Height 9: -0.09032 Test Height 8: -0.94221 TH10 TH11 Test Height 7: -0.47334 TH13 Test Height 6: -0.65974 Test Height 5: 0.67018 THE TH4 Test Height 4: 0.60166 Test Height 3: 0.26541 Test Height 2: -0.17833 Test Height 1: 0.21139 TH1 TH3 THO TH2 OFHT TH6 TH15 TH14 TH12 TH8 f (2) Test Launch Horizontal Gap Length = 1 V Control Horizontal Gap Length Reset Launches Show Outer EstimatesControl Horizontal Gap Length TH 15: 0.24576 TH 14:-0.04287 TH 13: 0.35726 TH 12: -0.0905 TH 11: -0.2807 TH 10: 0.07549 TH 9: 0.34553 TH 8: -0.00354 TH 7: 0.22412 TH9 TH13 TH 6: 0.00069 TH 5: 0.06991 TH15 TH3 TH 4: -0.28285 OTHT TH 3: 0.27933 TH 2: 0.03179 TH 1:-0.08699 THS TH10 TH2 TH8 TH6 TH14 STEM2 TH41 Test Launch Horizontal Gap Length = 1 Control Horizontal Gap Length Reset Launches Show Outer EstimatesTest Height 15: 0.89864 Test Height 14: 0.52891 Control Horizontal Gap Length Test Height 13: 0.53391 Test Height 12: -0.99833 Test Height 11: 0.52541 Test Height 10: 0.45964 Test Height 9: 0.94909 Test Height 8: 0.04344 TH9 Test Height 7: 0.97994 TH1 TH15 Test Height 6: 0.9688 Test Height 5: -0.61983 TH3 Test Height 4: 0. 16189 THY4 TH13 Test Height 3: 0.66045 TH10 TH11 Test Height 2: -0.43333 Test Height 1: 0.86623 TH4 TH8 TN2 TH5 TH12 f (x) Test Launch Horizontal Gap Length = 0.5 Control Horizontal Gap Length Reset Launches Show Outer EstimatesControl Horizontal Gap Length TH 15: 0.01878 TH 14: 0.09105 TH 13: 0.02263 TH 12: 0.05282 TH 11: -0.00653 TH 10:-0.13043 TH 9: -0.05104 TH 8: 0.0407 TH 7: 0.10671 TH 6: -0.01387 TH 5: -0.00465 TH1 TH 4: 0.08274 TH 3: -0.01039 TH4 1h14 TH 2: 0.01468 THIS TH 1: 0.13171 TH13 TH8 TH2 THEHB TH15 TH11 TH9 TH10 g(x) Test Launch Horizontal Gap Length = 0.5 Reset Launches V Control Horizontal Gap Length Show Outer Estimates_ ngi ngggniiig 33313; Control Horizon .. Gap Length Test Height 13: 0.45532 Test Height 12: -0.37066 Test Height 11: 077779 Test Height 10: 0.50061 Test Height 9: -0.42147 Test Height 8: -0.42229 Test Height 7: 0.5588 TH4 Test Height 6: -0.95322 Test Height 5: -0.06538 Test Height 4: 0.85058 Test Height 3: -0.94165 Test Height 2: 099819 Test Helght 1: -0.27215 T f (a?) 1 Test Launch Horizontal Gap Length = 025 k Control Horizontal Gap Length ,.., Reset LaunCheS E] Show Outer Estimates V\" Control Horizontal Gap Length TH 15: -0.01099 TH 14: 0.11734 TH 13: 0.03061 TH 12: 0.00031 TH 11: -0.09689 TH 10: 0.08263 TH 9: 0.00222 TH14 TH 8: 0.00594 TH 7: 0.0386 TH 6: -0.05303 TH10 TH3 TH2 TH 5:-0.0639 TH 4: -0.02126 TH 3: 0.08364 TH7 TH 2: 0.07864 TH13 TH 1: -0.0192 OTHO TH12 TH8 TH1 TH15 TH4 TH5 TH11 x = 1 g (x ) Test Launch Horizontal Gap Length = 0.25 Control Horizontal Gap Length Reset Launches Show Outer EstimatesYour goal is to determine whether or not limzl at) exists, and whether or not limx_,1 9(27) exists. As mentioned earlier, you may assume that both f and g are continuous everywhere except possibly at :1: = 1. If you suspect that either limit exists, you'll need to provide a conjectured limit value. If you suspect that either limit does not exist, you should provide a hand-drawn graph that highlights the features of the function causing the graph to not exist