Need Explanation for finding limits

cheyenne reynolds
Category:
Calculus

Question description

Can someone explain & teach me how to find the limit, I'm having trouble solving this kind of questions now and my test is coming up in 3 days:

As x approaches negative infinity. x^4+5x^2+1

As x approaches positive infinity. (x^2-3x+7)/(x^3+10x-4)

As x approaches positive infinity. (x^2-3x+7)/(x^3+10x-4)

As x approches 0: (cos(2x) - 1)/(cos(x)-1)

As x approches 3: (x^4-81)/(2x^2-5x-3), I don't understand this one at all since both top and bottom parts become 0?


Thanks for the help!!

Tutor Answer

(Top Tutor) James M847
(2563)
School: UCLA
PREMIUM TUTOR
Work in Progress
The tutor is currently answering this question.
Please check back later.
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1828 tutors are online

Brown University





1271 Tutors

California Institute of Technology




2131 Tutors

Carnegie Mellon University




982 Tutors

Columbia University





1256 Tutors

Dartmouth University





2113 Tutors

Emory University





2279 Tutors

Harvard University





599 Tutors

Massachusetts Institute of Technology



2319 Tutors

New York University





1645 Tutors

Notre Dam University





1911 Tutors

Oklahoma University





2122 Tutors

Pennsylvania State University





932 Tutors

Princeton University





1211 Tutors

Stanford University





983 Tutors

University of California





1282 Tutors

Oxford University





123 Tutors

Yale University





2325 Tutors