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...
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 the values are defined and are equal to each other, then we can say that the function is continuous at that point. ...
Determine whether the function is continuous. k(x) = 2x/x-4 Find the value of k so that the function will be continuous at x = 3.\f(x) = \begin{cases} \dfrac{-10x^2 - 10x + 120}{x - 3} & if\ x \lt 3\-7x^2 - 70x - 175 + k & if\ ...
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) . ...
and the definite integral can be calculated using limits as well. There are several theorems regarding the calculation of limits. One very useful theorem states that if you have the limit of a composition of two continuous func...
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 ...
For a function to be continuous we have to have:L=f(c). We can easily prove that if a function is differentiable then it is continuous. From here we have that if a function isn't continuous it is differentiable. Answer an...
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...
(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 ...
Math Calculus Continuous functions Determine the numbers, if any, at which the given function f is discontinuous: f (x) = {x - 1} /...Question:Determine the numbers, if any, at which the given function f is discontinuous: f(x)=x−1x2−4....