and this one:
lim x-0: (x^3+3x^2 +1)/(x^4-2x+2)
I got zero in answer. Is it correct?

Question

and this one:
lim x->0: (x^3+3x^2 +1)/(x^4-2x+2)
I got zero in answer. Is it correct?

anonymous · Answer

I'm pretty sure this is either infinity, negative infinity, or does not exist. I can't remember the procedure on approaching this, though.

anonymous · Answer

hm, I thought I just need to put x^4 out to get : x^4 (1/x +3/x^2 + 1/x^4)/ x^4 (1- 2/x^3+2/x^4)

anonymous · Answer

and then get 0/1

anonymous · Answer

That method only works when th elicit is approaching infinity or negative infinity, because something over 0 does NOT equal 0

anonymous · Answer

The limit is approaching infinity**

anonymous · Answer

aaa, sorry, I mistyped, it's approaching infinity actually

anonymous · Answer

Sorry, iPad autocorrect. The method only works when the limit is approaching infinity.

anonymous · Answer

Oh, in that case, that is correct.

anonymous · Answer

thank you for your help