I understand how to find limits algebraically and for this problem I know that since it is an indeterminate form you are supposed to factor but I can't figure out how to factor it in order to cancel something out!!!! I'm going crazy...
Find the limit of (x^2+3) / (x^4) where x=0

Question

I understand how to find limits algebraically and for this problem I know that since it is an indeterminate form you are supposed to factor but I can't figure out how to factor it in order to cancel something out!!!! I'm going crazy... 
Find the limit of (x^2+3) / (x^4) where x=0

anonymous · Answer

Hey as x-->0 (x^2+3)/(x^4) goes to infinity. How do you gonna cancel that. As x-->0 the function approaches the form 3/0!!.

anonymous · Answer

I know that it goes to infinity but since it says "algebraically" I'm supposed to factor the numerator and somehow cancel the term with the denominator to show that it goes to infinity. What you showed is direct substitution it is just a different method

anonymous · Answer

wait nevermind

anonymous · Answer

how do you know it goes to infinity?

ipwnbunnies · Answer

Hmm, this question isn't that great. The limit does go to infinity, not sure if you can solve it algebraically. If the limit approached infinity, the limit would equal 0. Crazy.

ipwnbunnies · Answer

If x approached infinity*