4. Evaluate the limit (4pts each) 9x4+x (a) lim x -3 (b) lim Vx +25 4. Evaluate the limit (4pts each) 9x4+x (a...
Evaluate the limit lim x→5 x^2 −2x−15/ x^2 −25 Evaluate the limit lim x→∞ x^2 + x /x^5 c. Find all points on the graph of f(x) = 2x^3 −x where the tangent line is parallel to the line y = 149x + 7.
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
1) Evaluate each limit (3 marks each) a) lim *vib) lim C) lim d) lim (1210-6
(1 point) Evaluate the limit: lim (------) = = DNE X-4
26. Use algebraic properties to determine the value of the limit: VX-3-2 lim X-7
4pts each] 9. Find the limit of the following if the limits exist. If not, explain x -3x+2 1) lim +4 r-1 11) lim 111) lim + 3x + 4 iv) lim :-*x-4 v) If 2x-15g(x)=x-2x+3, find limg(x)
Evaluate it
(b) Evaluate the limit lim (Vlog(x)) 10+ Make sure you clearly explain/justify each step in your working.
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
evaluate each limit or explain why it does not exist
(b) 4x² - y² lim (x,y)+(0,0) x2 + 2y2
1 *+-2* (*+2 Vx+5 - 00 (Type an exact answer.) Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. x+-2 x+2 Vx+2 What is the most efficient way for this limit to be evaluated? Select the correct choice below and, if necessary O A. Manipulate the given expression algebraically to rewrite the limit aslim x -2 O B. Take the natural logarithm of the expression and then l'Hôpital's Rule to rewrite the limit as X-2 O...