![Prove that f(x)=begin{cases} sin { cfrac { 1 }{ x } } ,quad whenquad xneq 0; 0,quad whenquad x=0 end{cases} is discontinuous x=0 Prove that f(x)=begin{cases} sin { cfrac { 1 }{ x } } ,quad whenquad xneq 0; 0,quad whenquad x=0 end{cases} is discontinuous x=0](https://haygot.s3.amazonaws.com/questions/1547316_1705437_ans_14dca334ebd747f08d790752ebc1d777.jpg)
Prove that f(x)=begin{cases} sin { cfrac { 1 }{ x } } ,quad whenquad xneq 0; 0,quad whenquad x=0 end{cases} is discontinuous x=0
![Determine the domain of the function and prove that it is continuous using the Laws of Continuity. f(x) = sqrt(x^2 + 9). | Homework.Study.com Determine the domain of the function and prove that it is continuous using the Laws of Continuity. f(x) = sqrt(x^2 + 9). | Homework.Study.com](https://homework.study.com/cimages/multimages/16/graph3760297779489453197.jpg)
Determine the domain of the function and prove that it is continuous using the Laws of Continuity. f(x) = sqrt(x^2 + 9). | Homework.Study.com
![Prove that f(x)=begin{cases} 3-x,quad whenquad xle 0; { x }^{ 2 },quad whenquad x>0 end{cases} is discontinuous x=0 Prove that f(x)=begin{cases} 3-x,quad whenquad xle 0; { x }^{ 2 },quad whenquad x>0 end{cases} is discontinuous x=0](https://haygot.s3.amazonaws.com/questions/1554097_1705417_ans_de6ad7b2414f45af88a764d203f8b225.jpg)
Prove that f(x)=begin{cases} 3-x,quad whenquad xle 0; { x }^{ 2 },quad whenquad x>0 end{cases} is discontinuous x=0
![SOLVED: Determine whether or not the following functions are uniformly continuous: a) f(x) = 1/x on (0, ∞) b) f(x) = x*sin(1/x) for x ≠0 and f(0) = 0 on [-π, SOLVED: Determine whether or not the following functions are uniformly continuous: a) f(x) = 1/x on (0, ∞) b) f(x) = x*sin(1/x) for x ≠0 and f(0) = 0 on [-π,](https://cdn.numerade.com/ask_images/27bdae2a99c74e73adaf2c7e73c161a2.jpg)
SOLVED: Determine whether or not the following functions are uniformly continuous: a) f(x) = 1/x on (0, ∞) b) f(x) = x*sin(1/x) for x ≠0 and f(0) = 0 on [-π,
![So yesterday I watched a video that proved that f(x)=1/x is a continuous function... What do you think? Because that really messed with my head : r/mathmemes So yesterday I watched a video that proved that f(x)=1/x is a continuous function... What do you think? Because that really messed with my head : r/mathmemes](https://preview.redd.it/yxpvdf960jd81.jpg?width=640&crop=smart&auto=webp&s=f552d5bc5f3ab88a64365c2ddebe4138dcd6aa24)
So yesterday I watched a video that proved that f(x)=1/x is a continuous function... What do you think? Because that really messed with my head : r/mathmemes
![Proof that f(x) = 1/x is Continuous on (0, infinity) using Delta-Epsilon | Math videos, Continuity, F(x) Proof that f(x) = 1/x is Continuous on (0, infinity) using Delta-Epsilon | Math videos, Continuity, F(x)](https://i.pinimg.com/originals/db/bd/a6/dbbda6cdcf0a42efee4f0069f080f217.jpg)
Proof that f(x) = 1/x is Continuous on (0, infinity) using Delta-Epsilon | Math videos, Continuity, F(x)
Prove that f(x) = {((sin (1/x), when x ≠ 0), (0, when x = 0), is discontinuous at x = 0. - Sarthaks eConnect | Largest Online Education Community
![epsilon delta - Help needed in the details of proving continuity for the function $f(x)=\frac{1}{x^2}$ on $(0,\infty)$ - Mathematics Stack Exchange epsilon delta - Help needed in the details of proving continuity for the function $f(x)=\frac{1}{x^2}$ on $(0,\infty)$ - Mathematics Stack Exchange](https://i.stack.imgur.com/qeIls.png)
epsilon delta - Help needed in the details of proving continuity for the function $f(x)=\frac{1}{x^2}$ on $(0,\infty)$ - Mathematics Stack Exchange
![SOLVED: T+X (2) Using the definition of uniformly continuous function; prove that each of the following functions is uniformly continuous on the given set: 1 a) f(x) = +3 on [0, 2]. ( SOLVED: T+X (2) Using the definition of uniformly continuous function; prove that each of the following functions is uniformly continuous on the given set: 1 a) f(x) = +3 on [0, 2]. (](https://cdn.numerade.com/ask_images/50060ef14fa54e73a906a83dbe19749c.jpg)
SOLVED: T+X (2) Using the definition of uniformly continuous function; prove that each of the following functions is uniformly continuous on the given set: 1 a) f(x) = +3 on [0, 2]. (
![SOLVED: Uniform continuity 3.29. Prove that f(x) = 42 is uniformly continuous in 0 < x < 1. Method I: Using definition: We must show that, given any ε > 0, we SOLVED: Uniform continuity 3.29. Prove that f(x) = 42 is uniformly continuous in 0 < x < 1. Method I: Using definition: We must show that, given any ε > 0, we](https://cdn.numerade.com/ask_images/ee18aab4834643d5bcfe9f868a08ed04.jpg)
SOLVED: Uniform continuity 3.29. Prove that f(x) = 42 is uniformly continuous in 0 < x < 1. Method I: Using definition: We must show that, given any ε > 0, we
![real analysis - Don't understand solution to proving f(x) = 1/x is continuous at x = 1/2 - Mathematics Stack Exchange real analysis - Don't understand solution to proving f(x) = 1/x is continuous at x = 1/2 - Mathematics Stack Exchange](https://i.stack.imgur.com/E3U5t.png)