(18. a) Evaluate lim e sin (b) Evaluate lim x sin x 0 x (c) Illustrate...
Evaluate lim x→0 [(sin(tan x) − tan(sin x))/x^7?] [sin(tan x) – tan(sin x) 1.2.15 Evaluate lim x 0 7
Evaluate the limit using L'Hospital's rule e - 1 lim 10 sin(72) 38 Preview x/7 Evaluate the limit using L'Hospital's rule if necessary sin(6x) lim 1+0 sin(12.) Preview Get help: Video Points possible: 1 This is attempt 1 of 5. וכפטנט Du Evaluate the limit using L'Hopital's rule 523 lim e41 Preview Get help: Video Points possible: 1 This is attempt 1 of 5. Submit
4. Below is a piecewise function, determine -5 lim,f(x)= c, lim f(x)= e. lim f(x)- d. y = sin x (not drawn to scale) explain Consider the piece of f(x) in the first quadrant resembling e. Determine lim sinand the behavior of the graph near zero. 5. Using your graphing calculator sketch h(x)-x4-2x3 over [-2,2] below, find the critical values and on the graph label the coordinates of any local, global(absolute) minima, maxima or point of inflection on the sketch,...
Use Taylor polynomials to evaluate the limit. e-3x – 1 7) lim X0 х sin 2x - sin 4x 8) lim x>0 х
1 Given lim f(x) = 5, lim g(x) = -2, and lim h(x) = 0, evaluate the limit: lim x-c f(x) - 8(x) 1-C X- X-C 1 5 b) c) d) e) does not exist
1. Suppose that lim x) = A, lim f(x) = B, 0) = C, where A, B, C are distinct real numbers. In each of the following, fill in the corresponding box by: • Expressing the limit in terms of A, B, C if it is possible to do so using the given information; • Writing DNE if it is possible to conclude that the limit does not exist using the given information; • Putting a X. otherwise. No explanation...
3) Use L'Hopital's Rule to evaluate and check your answers numerically: - sin x (a) lim x+0+ х 1 (b) lim X-70
Please answer with work Evaluate the limit. sin 5x 10) lim 10) X>0 sinx A) -5 B) 1 C) 5 D) 0
Evaluate the following limits: x2 +7x - 14 a) lim 2x-5 b) lim tan(3x) - X = c) lim X+0 4x2-3r d) lim a "270 3x - 3xcos(2x) 2x2 sin(3x)
10. Consider the behavior of values of sin near x = 0. The graph of X 1 sin shown to the right. Answer parts (a), (b), and (c) WAS 0 5 -1 (a) Create a table of values of sin xl- for the following values of x. Complete the following table. 2 2 2 311 2 5.0 2 7 х 2 11x it 91 sin Describe the pattern of values that can be observed in the table. Choose the correct...