Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable? 2 x + 1, x ≤ 2 3 − x, x > 2
Added by John D.
Step 1
** Show more…
Show all steps
Close
Your feedback will help us improve your experience
Hoan Nguyen and 89 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find the $x$ -values (if any) at which $f$ is not continuous. Which of the discontinuities are removable? $$f(x)=\left\{\begin{array}{ll} \frac{1}{2} x+1, & x \leq 2 \\ 3-x, & x>2 \end{array}\right.$$
Limits and Their Properties
Continuity and One-Sided Limits
Find the $x$ -values (if any) at which $f$ is not continuous. Which of the discontinuities are removable? $$ f(x)=\frac{|x+2|}{x+2} $$
Find the $x$ -values (if any) at which $f$ is not continuous. Which of the discontinuities are removable? $$ f(x)=\frac{x-1}{x^{2}+x-2} $$
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD