Continuity by Definition – Classify type of discontinuity – Exercise 831 Post category:Continuity by Definition Post comments:0 Comments Exercise Given the function f(x) = \begin{cases} \frac{\ln(3x+7)-\ln(5x+e)}{x^2}, &\quad x>0\\ -10+x^3, &\quad x \leq 0\\ \end{cases} Is it continuous? Final Answer Show final answer No. The point x=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 polynomial functions and a parameter – Exercise 5876 June 30, 2019 Proof of Continuity – A split function with ln and a third root – Exercise 6240 July 5, 2019 Proof of Continuity – A split function with first degree polynomial functions – Exercise 6220 July 5, 2019 Proof of Continuity – A split function with a function to the power of a function – Exercise 6236 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 a quotient of functions and parameters – Exercise 5867 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
Proof of Continuity – A split function with polynomial functions and a parameter – Exercise 5876 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 a function to the power of a function – Exercise 6236 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 a quotient of functions and parameters – Exercise 5867 June 30, 2019