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2.3 Finding Limits Analytically: 3. X + 6 Example. For g(x) find x2 – 36' 1....
find the limits analytically, show all steps x²–8 1. lim *+2 X-2 2. lim x3 Vx+1-2 x-3 1 3. lim 3+ x 3 x2 - 2x -15 4. lim *+-3 x2 + 4x +3 x0 X (4+ x)-16 5. lim X>0 x² - 4 6. lim 1+2 r -8 x x+sin x 7. lim 10 X sin²x 8. lim :-) x 3 sin(4x) 9. lim *** sin(3x) r? 10. lim 1981-COSI 1 11. lim x → X-1 = 1 12....
Suppose that lim tex) = and lim g(x) = - . Find the following limits. x2 a. lim [f(x) +5g(x)] X2 b. lim [f(x)g(x)] c. lim [2f(x)g(x)] f(x) d. lim X 2LX) - g(x) X- 2 lim [f(x) + 5g(x)] =D (Type an integer or a simplified fraction.) lim [f(x)g(x)] = X- 2 (Type an integer or a simplified fraction.) lim [2f(x)g(x)] = X-2 Suppose that lim f(x) = and lim g(x) = - X2 X2 . Find the following...
6) If lim f(x)=L and lim g(x)= M, then find: a) lim(/(x)+g(x)) b) lim 7) Sketch one possible graph of a function that satisfies the conditions, f(2)=5 lim f(x)=1 lim f(x)=5 8) fx+8 if x 50 Let f be the function defined by: f(x)={x2-5 if x > 0 a) Find: lim f(x) b) Find: lim f(x) c) Find: lim f(x) 9) Find each of the following limits. band a) lim b) lim
Given that lim f(x) = 3, lim g(x) = 0, and lim h(x) = 5, find the limits that exist. Enter DNE if the limit doesn't exist help (limits) (a) lim f(x) + h(x)] = 8 (b) lim{f(x)} = 9 (c) lim yh(x) = 5^(1/3) help (limits) !!! help (limits) help (limits) In help (limits) help (limits) f(3) (2) (9) lim !!! help (limits) 3-a g(x) 2f(x) !! help (limits) h(x) - f(x)
i need help with all of these [55 pts) Find the following limits analytically (that is neither graphically nor numerically). a) lim x² – 2x- 8 x+2 b) lim 10x*-x 3х c) lim 9-x? x X-3
Find the limits.f(x)=2 x²-3 x+3, _______ g(x)=\sqrt[3]{x+3}(a) \lim x → 2 f(x)=(b) \lim x → 5 g(x)=(c) \lim x → 2 g(f(x))=
. If not, explain why not. . x4 + 6x3 + 7.x2 – 6.– 8 27-4 3.x2 + 14.2 + 8 (e) lim- (f) lin e42 - 1 (f) lim sin(2.c) (g) lim sin?(36) x sin c (h) lim tan(5x) csc(4x) 0- 0
2. For the function f(x)= (2x² – 3, x>2 19-2x, x<2 find the limits or explain why they do not exist. (a) lim f(x) 1-2+ (b) lim f(x) (e) lim f(x) X2
Evaluate the following f(x)=x2-1 and g(x) = 3x +5. :a. f(-3) b. g(-2) c. f(0) d. g(5) 2. Find the x and y intercepts of the following functions: a) f(x) = x2 - 5x + 6 = 0b) h(x) = -2x + 20
1. If a particle moves according to a law of motion S(t)=12-6-7, t 20 Where t is measured in seconds and sin meters, (a) Find the velocity of the particle in terms of t. (b) Find the velocity and the speed at time t=1. (c) When is the particle at rest? (d) When is the particle moving to the right and when is it moving to the left? (e) Find the acceleration of the particle at t. (10pts) 2. Evaluate...