Proof of Continuity – A split function with exponential functions – Exercise 6230 Post category:Continuity by Definition Post comments:0 Comments Exercise Given the function f(x)={ex−e−x2,x>00,x=0ex−e−xex+e−x,x<0f(x) = \begin{cases} \frac{e^x-e^{-x}}{2}, &\quad x> 0\\ 0, &\quad x= 0\\ \frac{e^x-e^{-x}}{e^x+e^{-x}}, &\quad x<0\\ \end{cases}f(x)=⎩⎪⎪⎨⎪⎪⎧2ex−e−x,0,ex+e−xex−e−x,x>0x=0x<0 Is it continuous? Final Answer Show final answer Yes Solution Coming soon… Share with Friends Read more articles Previous PostProof of Continuity – A split function with exponential functions with a parameter – Exercise 6248 Next PostProof of Continuity – A split function with A quotient of functions with a square root and a parameter – Exercise 6250 You Might Also Like Proof of Continuity – A split function with A quotient of functions with a square root and a parameter – Exercise 6250 July 5, 2019 Proof of Continuity – A split function with exponential functions and a parameter – Exercise 6591 July 16, 2019 Proof of Continuity – A split function with polynomial functions and a parameter – Exercise 5874 June 30, 2019 Proof of Continuity – A split function with first degree polynomial functions – Exercise 6220 July 5, 2019 Proof of Continuity – A split function with exponential and rational functions – Exercise 6245 July 5, 2019 Proof of Continuity – A split function with a polynomial and a rational function – Exercise 5871 June 30, 2019 Leave a Reply Cancel replyCommentEnter your name or username to comment Enter your email address to comment Enter your website URL (optional) Δ
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