Suppose that lim tex) = and lim g(x) = - . Find the following limits. x2...
32 Given f(x) = 1x and g(x) = find the following expressions. x2 + 8 (a) (fog)(4) (b) (gof)(2) (c) (f of)(1) (d) (gog)(0) (a) (fog)(4) = (Type an integer or a simplified fraction.) (b) (gof)(2) = (Type an integer or a simplified fraction.) (c) (f of)(1) = (Type an integer or a simplified fraction.) (d) (gog)(0) = (Type an integer or a simplified fraction.)
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)
f(x)-3 If lim – - = 2, find lim f(x). X-5 X-3 X- 5 lim f(x) = X-5 (Type an integer or a simplified fraction.)
I don't understand how they got these numbers. Use the graph of the greatest integer function, y LxJ, to find the limits given below. LeJ (a) lim LO」 (b) lim 0-4 (a) Select the correct choice below and fill in any answer boxes within your choice LO」 A. m(Type an integer or a simplified fraction.) B. The limit does not exist. (b) Select the correct choice below and fill in any answer boxes within your choice. LeJ lim- 5 (Type...
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
2.3 Finding Limits Analytically: 3. X + 6 Example. For g(x) find x2 – 36' 1. lim g(x) 20 2. lim g(x) 0-6 Suppose lim f(x) = 4, lim g(x) = 5 and lim h(x) = 8. 4. 2+2 2+2 2+2 a) lim f (2) - g(2) h(x) -2 b) lim (6 f(x)g(x) + h(x)) 1-2
20 Given f(x)= |x) and g(x)- , find the following expressions. (a) (f og)(4) (b) (g of)(2) (c) (of) (d) (g o g)(0) (a) (f o g)( 4(Type an integer or a simplified fraction.)
Find the following limit. Answer as a fraction or integer (no d X2 +9x-22 lim x² - 4 X-2
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)
Evaluate the integral [~ /36+? Sx 736+X?dx=0 Find the area of the region enclosed by the curves y=x2 - 4x and y= -x2 + 4x The area of the region enclosed by the curves is (Type an integer or a simplified fraction.) Use l'Hôpital's rule to find the following limit. 10 In (x-9) x 10+ - (4-10_16->) - ] (ype an integer or lim- (Type an integer or a simplified fraction.) x - 10 In (x-9) X10+