Ask
your own question, for FREE!
Mathematics
56 Online
compute limit x->3 x^4-81/2x^2-5x-3
Still Need Help?
Join the QuestionCove community and study together with friends!
\[(x^{4}-81)/(2x ^{2}-5x-3)\]
you asking for the limit of that is it goes to 3?
You have something called an 'indeterminate form' since both the numerator and denominator approach 0 as x approaches 3. In these cases, you can use L'Hopital's rule, which says\[\lim_{x \rightarrow a}\frac{f(x)}{g(x)}=\lim_{x \rightarrow a}\frac{f'(x)}{g'(x)}\]In your case, \[\lim_{x \rightarrow 3}\frac{x^4-81}{2x^2-5x-3}=\lim_{x \rightarrow 3}\frac{4x^3}{4x-5}=\frac{108}{7}\]
Can't find your answer?
Make a FREE account and ask your own questions, OR help others and earn volunteer hours!
Join our real-time social learning platform and learn together with your friends!
Join our real-time social learning platform and learn together with your friends!
Latest Questions
danielfootball123:
What is the name of the president who got assassinated?
gelphielvr:
(algebra 1) finding the solution to two equations? I have no clue how to solve th
DonaldTrumpofQC:
As we all hopefully know, Pope Francis has passed away. May he rest in piece. He loved children, always has.
Aberration:
Iu2019m big into writing descriptive imagery of combat from charactersu2014and the main thing I struggle with is where to start, how to use most sensory det
turntechGodhead:
what are some commonly mischaracterized characters and how are they mischaracteri
Diorfxck:
this good for a first song We met in the night, but now itu2019s so cold You held
danielfootball123:
I want to start a thing | Not eating for a week | - only water What are the Pros
30 seconds ago
0 Replies
0 Medals
3 hours ago
6 Replies
1 Medal
5 hours ago
52 Replies
6 Medals
11 minutes ago
10 Replies
1 Medal
1 hour ago
3 Replies
0 Medals
2 hours ago
13 Replies
1 Medal
15 hours ago
19 Replies
3 Medals