sin Use the relation lim 00 = 1 to determine the limit of the given function....
Use Taylor polynomials to evaluate the limit. e-3x – 1 7) lim X0 х sin 2x - sin 4x 8) lim x>0 х
Use the graph of F to find the given limit. When necessary, state that the limit does not exist. lim F(x) X-5 10 | 5 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim F(x)= X-5 (Type an integer or a simplified fraction.) O B. The limit does not exist. Click to select and enter your answer(s) and then click Check Answer. Use the graph of F to find...
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...
Find the limit of the following. lim (V9x2 + 7x - V9x2 – 3x) lim (9x2 +7x - V9x2 - 3x) - X-00 (Simplify your answer.) t + 3t - 208 Find lim -13 - 169 + + 3t - 208 lim 1-13 - 169 (Type an integer or a simplified fraction.) Define f(7) in a way that extends f(s)= S-343 2 to be continuous at s = 7. s -49 f(7)- (Type an integer or a simplified fraction.) x+5...
3. (5pts each)Assume that a and b are constants. Evaluate each limit (MUST SHOW WORK!). If it does not exist, write DNE. lim (ax)2-12 Jax+b1 a. X- a b. lim X-00 5-4x V9x2+7 C. sin(2x) tan(6x) lim x0 x sin(3x) d. lim (e-* In(x)) x-00
- 3e - sin(-5x) Find lim - 2x (x,y)+(0,0) -3e - sin(-5x) lim - 2x (x,y)-(0,0) (Type an integer or a simplified fraction.)
Determine if the following piecewise defined function is differentiable at x = 0. x20 f(x) = 4x-2, x2 + 4x-2, x<0 What is the right-hand derivative of the given function? f(0+h)-f(0) lim (Type an integer or a simplified fraction. I h h+0+
Calculate the limit with and without L'hospitals rule. Show explanation please. sin 7x 26. lim 27. lim sin 3x 1+ 3x *** tan 4x
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+
Find the limit of the rational function (a) as x and (b) as x -00 f(x)= * 6x5 + 3x4 -1 4x3 - 6x+ 2 a. lim | 6x + 3x - 1) X+0 4x - 6x + 2 (Simplify your answer.) (6x + 3x²-1) b. lim x+-50 4x'- 6x+2) (Simplify your answer.) Enter your answer in each of the answer boxes.