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 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 ...
In order to find intervals over which a function is continuous we first look for any domain restrictions for the function. Then we can study the behavior of the function away from these domain restrictions. A similar theorem ho...
√ (y-x^2) is continuous on its domain \( (x,y)∣ y-x^2≥q 0\) =\( (x,y)∣ y≥ x^2\) and ln z is continuous on its domain \( z∣ z>0\) , so the product f(x,y,z)=√ (y-x^2) ln z is continuous for y≥ x^2 and z>0, that is, \( (x,y,z)∣ y...
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....
A resampling system interpolates the input u(n) to a continuous domain function f(t) that approximates the input. u(n)≈f(n/FsIn) The output is then sampled from f(t) on a different time scale. y(k)=f(k/FsOut−D) The values FsIn and FsOut are the input and output sample...
(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 ...
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...