( x=1) The domain is all values of ( x) that make the expression defined. Interval Notation: ( (-∞ ,1)∪ (1,∞ )) Set-Builder Notation: ( \(x|x≠ 1\)) Since the domain is not all real numbers, ( f(x)=(x^3-1)/(x-1)) is not continuous over all real...
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)=v(x-1)) is continuous over all real numbers. Continuous...
Answer to: 1. Determine where f is continuous. f(x) = ln(tan^(-1)x) / (x^2 - 9) 2. Find the limits. (a) lim x- +infty cos(1/x) (b) lim x-0 e^sinx...
结果1 题目 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 反馈 收藏 ...
Determine where f is continuous.f(x)=xcotx. Continuous Functions: Continuous functions are operated in a very intuitive way: the sum, product, quotient and composition of continuous functions represent new continuous functions. Answer and Explanation:1 ...
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 ...
.x+3=0Subtract 3 from both sides of the equation.x=-3T he domain is all values of that make theexpression defined.Interval Notation:(-∞,-3)U(-3,∞)Set-Builder Notation:{|x≠-3}Since the domain is not all real numbers,f()= is not cotinuous overall real numbers.Not conti...
Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.If f is continuous on [0,1], then ∫ _0^1∫ _0^1f(x)f(y)\ =[∫ _0^1f(x) x]^2 相关知识点: 试题来源: 解析 True...
【题目】Determine the set of points at which the func tion is continuous.f(x,y,z)=√(y-x^2)lnz 相关知识点: 试题来源: 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...
Determine if the function {eq}f(x)=\dfrac{x^2-1}{x-1} {/eq}is continuous over the interval (-5, -2). Use this to determine if the function is continuous at x = -3. Step 1:Identify the given function f(x) and the interval (a,b) ...