Use a graph of f to estimate ModifyingBelow lim With x right arrow a f left parenthesis x right parenthesislimx→a f(x) or to show that the limit does not exist. Evaluate​ f(x) near xequals=a to support your conjecture. Complete parts​ (a) and​ (b). f left parenthesis x right parenthesis equals StartFraction 1 minus cosine left parenthesis 2 x minus 2 right parenthesis Over 2 left parenthesis x minus 1 right parenthesis squared EndFractionf(x)= 1−cos(2x−2) 2(x−1)2​; aequals=1 Question content area bottom Part 1 a. Use a graphing utility to graph f. Select the correct graph below.. A.

A coordinate system has a horizontal axis from negative 1 to 3 in increments of 0.5 and a vertical axis from 0 to 5 in increments of 1. An oscillating curve increases in amplitude from left to right, reaching a maximum at (1, 1.3) and then decreases in amplitude. An open circle is plotted at (1, 1.3). All coordinates are approximate. B.

A coordinate system has a horizontal axis from negative 1 to 3 in increments of 0.5 and a vertical axis from 0 to 5 in increments of 1. A periodic curve has amplitude 1 and a period of approximately 3.1. Within one period, the curve reaches a maximum at (0.2, 2.75) and a minimum at (1.8, 0.75). An open circle is plotted at (1, 1.75). All coordinates are approximate. C.

A coordinate system has a horizontal axis from negative 1 to 3 in increments of 0.5 and a vertical axis from 0 to 5 in increments of 1. A periodic curve has amplitude 1 and a period of approximately 3.1. Within one period, the curve reaches a minimum at (1, 0.5) and a maximum at (2.55, 2.5). An open circle is plotted at (1, 0.5). All coordinates are approximate. D.

A coordinate system has a horizontal axis from negative 1 to 3 in increments of 0.5 and a vertical axis from 0 to 5 in increments of 1. An oscillating curve increases in amplitude from left to right, reaching a maximum at (1, 1.0) and then decreases in amplitude. An open circle is plotted at (1, 1.0). All coordinates are approximate. Your answer is correct. Each graph is displayed in a ​[minus−​1,3] by ​[0,55​] window. Part 2 Use the graphing utility to estimate ModifyingBelow lim With x right arrow 1 f left parenthesis x right parenthesislimx→1 f(x). Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. The limit appears to be approximately 11. ​(Round to the nearest tenth as​ needed.) Your answer is correct.B. The limit does not exist. Part 3 b. Evaluate​ f(x) for values of x near 1 to support your conjecture. 11

x 0.90.9 0.990.99 0.9990.999 1.0011.001 1.011.01 1.11.1 ​f(x) 0.0003050.000305 0.0003050.000305 0.0003050.000305 0.0003050.000305 0.0003050.000305 0.0003050.000305 ​(Round to six decimal places as​ needed.)