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Question 1. Find the limit if it exists: (a) Evaluate 1 - x + In x...
evaluate the limit, if it exists. #2 evaluate the limit, if it exists. x 4 - 1 x-1 x3 + 3x2 - 4x lim - V1 + x - V1 - x lim x-0
5. (7 marks) Evaluate the limit, if it exists, or show that the limit does not exist. 51 + y 2.cy (a) lim (1,3)+(0,0) 5x + y + 9-3 (b), lim (x,y)+(0,0) x2 + y2
Exercise 2: Find the limit if it exists, or show that the limit does not exist (10pts) lim (5x - xy?) ( 2.2) lim e "cos(x + y) 4 - xy lim (x,y)=(2, 1) x + 3y? lim In (1.0) 1 + y2 x + xy lim (29) 0,01 x + 2y? 5y' cos'x ( 20) x + y y sin? lim (y)-> (0,0) x + ху - у lim (y=0.0 (x - 1)2 + y2 xy lim lim (...
QUESTION 3 Use the graph to find the limit, if it exists. lim f(x) =[a] x + 1 3(x) co . - 2 - -1 -27 QUESTION 4 Use the graph to find the limit, if it exists. 4 lim XO 1 2+ex =[a] 2 - 2 QUESTION 5 Use the graph to find the limit, if it exists. lim tan X = [a] XT/2 Fla T 1
1. Find the limit. lim X00 (e-2x cos(x))
M ULIJJJ040_1Wurses/5_202020_22458_MATH_01230/test2%2011 6. (10 pts.) Evaluate the limit if it exists or show the limit does not exist: (a) lim(=,y)=(2,1) 7°+27° In(4 - ry) (b) lim(.)=(0,0) 7. (12 pts.) If : = 2 cos r + ex-3y, (a) find is, zy, že tay, and zwy (or if you prefer to and ). (b) Evaluate all these derivatives at the origin.
1. (25 points) Evaluate the limit, if it exists. lim (x3 + 3x² 3 1+ 4x2 + 3.14) 2+1 (b) lim 29- - 9 x² - x - 20 (c) lim 1- -5 5
show work 1) Find the limit if it exists. x? - 7x +10 x² + x-30 a) lim tan x b) lim c) lim tan x In x
(1 point) Find the limit. Use l'Hospital's Rule where appropriate. 6(ln x)2 lim x00 Limit:
Question 11 5 pts Find exact value the limit, if it exists. If the limit does not exist, type "dne" and explain why. lim sin(x-2) x2-4 = x + 2