12. Pind the limit (if it exists). If it doesn't exist explain why. Sometr) when -...
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 or explain why it doesn't exist: 3. (8 marks) Find the limit or explain why the limit does not exist: (a) lim 1 + x - V1 - 2 2 (b) lim 2-3 2+2 2----2
Find the limit algebraically, if it exists. If the limit does not exist, state that fact. x2 - 16 . 10x2 + 3 lim - x+-4 X+4 x + 2x + 1 i + lim -13 0 0 0 0 The limit does not exist.
Find the limit, if it exists, or show that the limit does not exist. 1. lim (x²y3 – 4y?) (2,y)+(3,2) 2. lim 24 - 4y2 (x,y)+(0,0) x2 + 2y2 3. Find the first partial derivatives of the function of f(x,y) = x4 + 5.cy 4. Find all the second partial derivatives of f(x,y) = x+y + 2.x2y3 5. Find the indicated partial derivatives. f(1, y) = x^y2 – røy ; farzz, fryz
real analysis 1,3,8,11,12 please 4.4.3 4.4.11a Limits and Continuity 4 Chapter Remark: In the statement of Theorem 4.4.12 we assumed that f was tone and continuous on the interval I. The fact that f is either stric tric. strictly decreasing on / implies that f is one-to-one on t one-to-one and continuous on an interval 1, then as a consequence of the value theorem the function f is strictly monotone on I (Exercise 15). This false if either f is...
Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not otherwise exist, enter DNE.)$$ \lim _{x \rightarrow-1} \frac{x^{2}+9 x+20}{x+1} $$
I think she's talking about squeeze theorem but i don't want to get it all wrong assuming that's what numerical limiting process is. 17.Use a numerical limiting process to evaluate the limit x-> 0" of the function g(x) 18. Use a numerical limiting process to evaluate the limit x-> 0* of the function g(x) n Coo.0153 19. What is lim in(x) x+0 19. What is lim Stn X+0 Liu sink 0.01465 sin(x) 20. Sketch a graph of g(x) x 13....
Determine the limit of the trigonometric function (if it exists). (If an answer does not exist, enter DNE.) lim 5x2 tan πx x→1/2
1. Let f be a function whose graph is shown below. 14 y 12 10 -14-12-10 - 2 2 10 12 14 TI -10 - 12 -14 (a) For which values r = a is the function f discontinuous. Use the formal defini- tion of continuity in your explanation (b) Does the function f graphed above have any removable discontinuities? Explain.
Lim x-> 3 Decide from the graph whether a limit exists. If a limit exists, find its value Im F(x) What is the limit? Select the correct choice below and fill in any answer boxes in your choice OA The limit is OB. The Imit does not exist