Let if x < 1 f(x) = {(x - 2)² [x² + 1 [(x - 2)² if x = 1 (a) Find limx→- f(x) and limx→+ f(x). (b) Does limx→1 f(x) exist? (c) Sketch the graph of f.
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- Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.) 4 2 0 lim f(x) x ->2 (a) Enter an exact number. lim f(x) x 2+ (b) lim f(x) (c) x » 2 f(2) (d) lim f(x) X >4 (e) (f) f(4)find the asymptotes of f(x)= x^2 - 7x +12 / x+6A. Lim x arrow -6^+B. Lim x arrow -2C. Lim x arrow 1D. f(4)E. f(6)
- How does the function behave as lim x → 3- for 7/(3(x-3)(5-x))?Is the function Increasing, Decreasing, or Both? Is the function Even, Odd, or Neither? What is the Vertical Asymptote? What is the Horizontal Asymptote? What are the End Behaviors? As x⟶ −∞, f(x)⟶ ? and As x⟶ ∞, f(x) ⟶ ? What are the Other Behaviors? As x⟶ −1^−, f(x) ⟶ ? and As x⟶ −1^+, f(x) ⟶ ?lim as x goes to -3 of (4(2x+1)^2-100)/x+3
- Draw a graph of a function f(x) that satisfies the following conditions: • f(−1) = 3 • lim x→(−1^-) f(x) = 0 • lim x→(−1^+) f(x) = 5 • f(2) = lim x→(2^−) f(x) = 2 • lim x→(2^+) f(x) = 4 Give clear steps and explanations.lim x1/2 /(x-4)4 =? x-->4Solve for the convolution of g given that it is with itself (g*g) for g(x) = e-πt^2