4.) Find the x-values(if any) at which f is not continuous. Which of the discontinuities are...
8. Find all discontinuities of f(x) = (x4 - 1)/(x2 - 4)(x - 1). Explain in detail which discontinuities, if any, are removable and which are non-removable.
Removable discontinuities: le discontinuities of f)32x+6 2 x2-9 -r-82-2x 6 What are the removable discontinuities of f(x) How do you remove them? What, if any, are the removable discontinuities of f(x) = s in ? How do you remove them? 4 have a removable discontinuity? For which values of x does a(x)- le discontinuities of f)32x+6 2 x2-9 -r-82-2x 6 What are the removable discontinuities of f(x) How do you remove them? What, if any, are the removable discontinuities of...
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...
please help due in 5 min!!! please help do all!!! 12 1. Let F(a)- (a) Determine any discontinuities of F(a) and classify them as either removable or nonre- movable. (b) Determine the any horizontal or vertical asymptotes of F(x). (c) Sketch a graph of F(x), indicating the asymptotes and any removable singular points. Be sure that you choose an appropriate scale. 12 1. Let F(a)- (a) Determine any discontinuities of F(a) and classify them as either removable or nonre- movable....
12. Pind the limit (if it exists). If it doesn't exist explain why. Sometr) when - (311) 13. Use the graph to determine the limits and discuss the continuity at x=-1 + 1 - > -3 -2 -1 1 2 3 lim f(x) lim (x) lim/(x) Is The above function continuous at x=-1? 14. Find the values of x (if any) at which the function is not continuous. Which of the discontinuities is removable? f(x)= 7+67+8
Calculus Consider the following. f(x) = 9x – cos X Find the x-value at which f is not continuous. Is the discontinuity removable? (Enter NONE in any unused answer blanks.) X = ; ---Select--
Classify the discontinuities in the function below at the given point. x2 - 8x + 7 f(x) = -; X = 1 X-1 Select the correct choice below, and, if necessary, fill in the answer box to complete your choice. O A. The discontinuity at x = 1 is a removable discontinuity. The function can be redefined at this point so that f(1) = B. The discontinuity at x = 1 is a jump discontinuity. O C. The discontinuity at...
1) Suppose f (a, b) R is continuous. The Carathéodory Theorem says that f(x) is differentiable at -cE (a, b) if 3 (a, b)-R which is continuous, and so that, (a) Show, for any constant a and continuous function (x), that af(x) is continuous at z-c by finding a Carathéodory function Paf(x). (b) Show, for any constants a, B, that if g : (a, b) -R is differentiable at c, with Carathéodory function pg(z), then the linear combination of functions,...
(1 point)Several Values of a continuous function f(x) are given below: (1 point) Several values of a continuous function f(x) are given below: 2= f(x) = 1 9 2 -12 3 5 4 5 Find (Si (f (t)) dt)|g_1 = | Note: If it is not possible to find an answer from the given information then enter DNE to indicate that the answer Does Not Exist.
Given the graph of f, find any values of x at which f'is not defined. tiu x O x = -2,2 OX= 0 Ox= -2,0,2 O Defined for all values of x