Continuity by Definition – Classify type of discontinuity – Exercise 831 Post category:Continuity by Definition Post comments:0 Comments Exercise Given the function f(x)={ln(3x+7)−ln(5x+e)x2,x>0−10+x3,x≤0f(x) = \begin{cases} \frac{\ln(3x+7)-\ln(5x+e)}{x^2}, &\quad x>0\\ -10+x^3, &\quad x \leq 0\\ \end{cases}f(x)={x2ln(3x+7)−ln(5x+e),−10+x3,x>0x≤0 Is it continuous? Final Answer Show final answer No. The point x=0x=0x=0 is an essential discontinuity point Solution Coming soon… Share with Friends Read more articles Previous PostContinuity by Definition – Continuity check by definition to a function with parameters – Exercise 859 Next PostContinuity by Definition – Continuity check by definition – Exercise 825 You Might Also Like Proof of Continuity – A split function with ln and a third root – Exercise 6240 July 5, 2019 Proof of Continuity – A split function with a polynomial and a rational function – Exercise 5871 June 30, 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 A quotient of functions with a square root and a parameter – Exercise 6250 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 rational function and a parameter – Exercise 6252 July 5, 2019 Leave a Reply Cancel replyCommentEnter your name or username to comment Enter your email address to comment Enter your website URL (optional) Δ
Proof of Continuity – A split function with a polynomial and a rational function – Exercise 5871 June 30, 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 A quotient of functions with a square root and a parameter – Exercise 6250 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 rational function and a parameter – Exercise 6252 July 5, 2019
