Determine whether function is continuous at x= 3. If discontinuous, identify the type of discontinuity as infinite, jump, or removable.f(x)=(cases) 2x&(if)&x<3 9-x&(if)& x≥3 (cases) 相关知识点: 试题来源: 解析 continuous 结果一 题目 Determine whether is continuous at x=3. If...
The continuity in a function at a point can be checked by determining the function value as well as function limit. If the function is not defined, or the value of limit doesn't exist, then we can say that the function is discontinuous. If both t...
1. Determine where the function H ( x ) = \frac { x ^ { 2 } - 5 } { x ^ { 2 } + 10 x - 24 } is continuous. 2. Is the function given by f (x) = \sqrt{ x} continuous at x = -2? Find the k value, if f(x) is a continuous functio...
解析 【解析】 Vy-22 is continuous on its domain ((x,y)|y-x^20)=((x,y)|yx^2 }and Inz is continuou s on its domain {z|z0}, so the product f(x,y,z)=√(y-x^2) nz is continuous for y2r2 and z0, that is, ((x,y,z)|yx^2,z0) . ...
Continuity is an equally important idea, due to the fact that a continuous function can be integrated over a closed interval. In order to find intervals over which a function is continuous we first look for any domain restricti...
(5 points) Let f(x)-if x 1. Find f(1), lim_(x→1)f(x)ardlsinf(x) . Determine the x→1x+1+value of m so that the function is continuous at r =1. 相关知识点: 试题来源: 解析 [-(a^(2n+1))=(x^(2n)-a)/(n-1)- 1 ...
Answer to: Determine whether the statement, if a function is differentiable at point (a, f(a)), then f(x) is continuous at x = a, is true or false...
From here we have that if a function isn't continuous it is differentiable. Answer and Explanation:1 (a): Since we have: limx→2−f(x)=0,limx→2+f(x)=−2 And because:0≠−2we conclude that the... Learn more ...
解析 F(x,y)= (1+x^2+y^2)(1-x^2-y^2) is a rational function and thus is continuous on its domain \( (x,y)|1-x^2-y^2≠q 0\) =\( (x,y)|x^2+y^2≠q 1\) 结果一 题目 Determine the set of points at which the function is continuous. 答案 is continuous on its ...
The function is said to have the point of discontinuity wherever the function is not defined or does not exist. So, the domain of the function or the graph of that function helps to get the point of discontinuity.Answer and Explanation: We have to determine the number...