please solve these

Consider the behavior of values of sin X 1 - near x =0. The graph of sin XI - shown to the right Answer parts (a), (b), and (c) -1 - (a) Create a table of values of sin x 1- for the following values of x. Complete the following table. 2 2 HIN 1 1 x sin X / -Find the following limit or state that it does not exist. X- - 144 lim X- - 12 X + 12 Simplify the given limit 42- 144 lim =lim (Simplify your answer.) X--12 + 12 X->- 12Find the following limit or state that it does not exist. lim 7 X- - 2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. lim 7 = A. (Simplify your answer.) X- - 2 B. The limit does not exist.MATH 180 Calculus I (All Sections) 2021 Fall Homework: Section 2.3 (Part I) Find the following limit or state that it does not exist. lim (2x - 9) X-+8 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A Im (2x - 9) = (Simplify your answer.) X -+8 B. The limit does not existHomework: Section 2.3 (Part I) Quest Pa Assume lim f(x) = 19 and lim g(x) = 3. Compute the following limit and state the limit laws used to justify the computation. X ->8 X->8 lim (f(x) - g(x)) X-8 lim (f(x) - g(x)) (Simplify your answer) X- 8For the function f(x) = -6x", make a table of slopes of secant lines and make a conjecture about the slope of the tangent line at x = 3. Complete the table (Do not round until the final answer. Then round to the nearest thousandth as needed.) Interval Slope of the Secant Line [2, 3]