Use the definition of continuity and the properties of limits to show that the function is continuous at the given number $ a $. $ g(t) = \frac{t^2 + 5t}{2t + 1}, \hspace{5mm} a = 2 $
Added by Larry V.
Step 1
First, let's find the value of $g(2)$: $g(2) = \frac{2^2 + 5(2)}{2(2) + 1} = \frac{4 + 10}{4 + 1} = \frac{14}{5}$ Show more…
Show all steps
Close
Your feedback will help us improve your experience
Ma. Theresa Alin and 56 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
Limits and Derivatives
Continuity
Use the definition of continuity and the properties of limits to show that the function is continuous at the given number $a$. $$h(t)=\frac{2 t-3 t^{2}}{1+t^{3}}, \quad a=1$$
Use the definition of continuity and the properties of limits to show that the function is continuous at the given number $ a $. $ p(v) = 2 \sqrt{3v^2 + 1}, \hspace{5mm} a = 1 $
Madhur L.
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