3. Find the limit. lim X+0 (Inx)2 x (4 pts) exe-x-2x X-sin 4. Find the limit....
Problem 5: (15 points) (a) Find the limit sin(2x)-2c lim ェ→0 (b)Find the limit lim (sin1/x-/2) ι π /2 Problem 5: (15 points) (a) Find the limit sin(2x)-2c lim ェ→0 (b)Find the limit lim (sin1/x-/2) ι π /2
sin(sin x) Find the limit lim 0-10 sin 2
2. Sketch the graph of the following functions and find the values of x for which lim f(x) does not exist. b)/(x) = 1, x = 0 f(x)- 5, x=3 c) x2 x>1 2x, x> 3 d) f(x)-v e) (x)- [2x 1- sin x Discuss the continuity of the functions given in problem #2 above. Also, determine (using the limit concept) if the discontinuities of these functions are removable or nonremovable 3. Find the value of the constant k (using...
Find the limit: lim x→0 x3 sin( 1/3x3)
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.
- 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.)
5) Apply the L'Hospital's Rule to find each limit: 2x – 1 – 2x - 2x² a) lim,70- b)lim. Va Inx
15. If limg tf(x) - 16, then find the following limit lim sin(π . 15. If limg tf(x) - 16, then find the following limit lim sin(π .
7. Find the limit using L'Hospital's Rule. (4 pts) 1 lim X+0+ x ex - 1)
Use Taylor polynomials to evaluate the limit. e-3x – 1 7) lim X0 х sin 2x - sin 4x 8) lim x>0 х