Lesson 2 1. For the function y glx), analyze and find: a. lim g(x) b. lim g(x) c. lim g(x) d. lim g(x) e. lim g(x) g. g(2) h. g(-1) i g(-2) f. g(0)
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- Let F(x) = (x2 + 3x + 2)/(2 - | x | ). Make tables of values of F at values of x that approach c = -2 from above and below. Then estimate limx→ -2 F(x).Show lim (x,y) -> (0,0) f(x,y) is invaLet ƒ(x) = (x2 - 1)/( | x| - 1). Make tables of the values of ƒ at values of x that approach c = -1 from above and below. Then estimate limx→ -1 ƒ(x).
- [3 - x x 2 let fx)=+1 a) Find lim fx) and lim f) X-2 X-2+ exist? why? Sx) b) Dose lim X2nd the limit, if it exists. If the limit does not exist, explain why. limx→2 1−|x|^2/1−x^2 You must show ALL of your work in order to receive full credit. Do NOT use differentiation. Do NOT use L'Hospital's Rule.6. State the definition of the derivative of a function f. Use the definition of the derivative toevaluate limx→0ln(1 + x)xif it exists. If the limit does not exist, explain why.
- Evaluate limx=0 (e-ax - e-bx)/xusing L'Hospital's Rule, what is limx->1+ (1/x-1) - (1/lnx)) Draw a graph of a function y = f(x) compatible with the informations given below.lim x→−∞f(x) = −4 limx→∞f(x) = 7 limx→−7−f(x) = 2 limx→−7+f(x) = −2 limx→−3−f(x) = −6limx→−3+f(x) = 3 limx→0−f(x) = −∞ limx→0+f(x) = ∞ limx→4−f(x) = −∞ limx→4+f(x) = 3limx→5−f(x) = −2 limx→5+f(x) = −2 limx→8f(x) = 10 limx→11f(x) = 20 limx→15f(x) = 0f(−9) = 0 f(2) = 0 f(5) = −3 f(6) = 0 f(15) = −5