Interval Notation: ( (-∞ ,-2)∪ (-2,2)∪ (2,∞ )) Set-Builder Notation: ( \(x|x≠ 2,-2\)) Since the domain is not all real numbers, ( f(x)=1(4-x^2)) is not continuous over all real numbers. Not continuous反馈 收藏
In this case, there is no real number that makes the expression undefined. Interval Notation: ( (-∞ ,∞ )) Set-Builder Notation: ( \(x|x∈ ℝ\)) Since the domain is all real numbers, ( f(x)=((x+2x^3))^4) is continuous over all real numbers. Continuous...
For example, the derivative is defined using a limit, 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...
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 if the function f(x) = absolute of (4 - x^2) is continuous at the point where x = 2. Determine the set of points at which the function F(x,y) = \frac{1+x^2+y^2}{4 - x^2-y^2} is continuous. Determine the value of A...
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 discontinuous, identify the type of discontinuity as infinite, jump, or removable. 答案 discontinuous; removable 相关推荐 1Determine ...
(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 ...
one possible test is the Integral test. Consider the function real valued functionf(x)such thatf(n)=anfor all values ofn.Iffis continuous, positive and decreasing on the interval[1,∞), and furthermore∫1∞f(x)dxis convergent, then the given series will...
If limit comes out to be infinite, it is Sais to be limit does not exist. Answer and Explanation:1 {eq}f(x) = \frac{sin (x)}{x} for \ x\neq 0 {/eq} As denominator contains all the values in domain except 0, so f(x) will be continuous...
Determine if the given function is continuous. f (x) = {x + 4} / {x^2 + 3 x - 4} Determine whether the function is continuous. g(x) = 3x/x+2 Determine whether the function is continuous. h(x) = 4-2x. Determine whether the function f(x) = \frac{1}{x-5} is continuous...