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
• Question 8 Evaluate the limit: lim h 0 (3 + h)2 – 9 h • Question 9 α Evaluate the limit: lim 1 +9 15x + 54 2 - 9
3. Evaluate the limits x-2 (a) lim 2 (c) lim x-,2x2 +2 ?- (b) lim 2 im 2x +4 (d) Given f(x)x1 -1<x s 2 3-?
1. (10 pts) Evaluate limits. Apply L'Hopital's Rule when needed. (Inx) a. lim b. lim 1/(1-2) 20+
Evaluate the following limits using l'Hôpital's Rule 10. lim sinx-2 x 7x3 10. lime sinti? 11. lim (1-3)* 12. lime e2-1 + 2x 12. lim 24-+2x 0
In Problems 9-13, find or evaluate the integral. r4 9. -dx 9. (5pts.) In(x-1) 10. ] dx 10. (5pts.) (x-1) sectan 11. de 11. (5pts.) 2 + sece ('sid) ει *p ET x 801 8 111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 e ('sids) TI ep (ou1 – 1)so5 | JI TI
2. Evaluate lim ? (Do NOT use a table or a graph to evaluate the limit.) [6 pts]
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.
Question 5 4 pts Evaluate lim (csc(z) - )
Question 12 Evaluate: lim, -70+ 6 cot 2 3+CcE 16 2 - 1 8 DA Sc