Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is infinite, enter '?' or '-?', as appropriate. If the limit does not otherwise exist, enter DNE.) lim_{x ? -1/6} (x + 6x^2) / (x^2 - 1/36)
Added by Emilia G.
Close
Step 1
First, we can simplify the expression by dividing both the numerator and denominator by the highest power of x, which is x^2. Show more…
Show all steps
Your feedback will help us improve your experience
Nick Johnson and 83 other Calculus 3 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
Use theorems on limits to find the limit, if it exists. $$ \lim _{x \rightarrow 1 / 2} \frac{4 x^{2}-6 x+3}{16 x^{3}+8 x-7} $$
Limits of Functions
Techniques for Finding Limits
Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is infinite, enter "infinite". If the limit does not otherwise exist, enter "DNE.")
Sri K.
Use the Infinite Limit Theorem and the properties of limits to find the limit. $$\lim _{x \rightarrow \infty} \frac{\sqrt{x^{6}-x^{2}}}{2 x^{3}}$$
Limits and Continuity
Limits Involving Infinity
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD