Math
posted by Stuck .
How do I solve lim((3x^3  5x +2)/(4x^2 + 3)) as x approaches infinity?
I divided everything by the largest power of x, but I ended up getting a denominator of 0. Do I have to factor this?
(answer is infinity)

Math 
Reiny
You did fine.
When you get c/0, where c is nonzero,
then the limit will approach infinity
It might be easier to see if you divide everything by only x^2.
then lim((3x^3  5x +2)/(4x^2 + 3))
= lim (3x  5/x + 2/x^2)/(4 + 3/x^2)
so as x approaches infinity you are left with 3x/4.
Now as x > ∞ the numerator 3x > ∞
and thus 3x/4 > infinity. 
Math 
Stuck
Oh ok, thank you! My teacher taught us to divide by the largest power of x, so I didn't think of doing it like that.
But I don't quite get how c/0 is infinity. Isn't anything over 0 undefined?
Respond to this Question
Similar Questions

limiting position of the particle
A particle moves along the x axis so that its position at any time t>= 0 is given by x = arctan t What is the limiting position of the particle as t approaches infinity? 
Calculus
How can I find the horizontal asymptote of: y=e^x/(2e^x+5) i know you have to do the limit as x approaches infinity... but that is about all i know... mulitply the numberator and denominator by e^x y= e^0/(2e^0 + 5e^x) y= 1/(2 + … 
calculus
Help  I have three problems that I am stuck on  1. Lim x approaches infinity (x3/x squared + 4) 2. Lim x approaches 3 x cubed  x squared  7 x +3/ x squared  9 3. Lim x approaches negative infinity (x + square root x squared + … 
Calc. Limits
Are these correct? lim x>0 (x)/(sqrt(x^2+4)  2) I get 4/0= +/ infinity so lim x>0+ = + infinity? 
calc
Are these correct? lim x>0 (x)/(sqrt(x^2+4)  2) I get 4/0= +/ infinity so lim x>0+ = + infinity? 
Calculus
Show that limit as n approaches infinity of (1+x/n)^n=e^x for any x>0... Should i use the formula e= lim as x>0 (1+x)^(1/x) or e= lim as x>infinity (1+1/n)^n Am i able to substitute in x/n for x? 
Calculus
Show that limit as n approaches infinity of (1+x/n)^n=e^x for any x>0... Should i use the formula e= lim as x>0 (1+x)^(1/x) or e= lim as x>infinity (1+1/n)^n Am i able to substitute in x/n for x? 
General Calculus Question
How do you solve a limit when it approaches infinity and there is a square root in the denominator? 
calculus
hi! just needed help on an FRQ for ap calculus ab. let me know if you have any questions for me. I'm just really confused as far as what I am meant to do. If you could walk me through it that would be amazing. THANKS!! A population … 
Math
Which describes the end behavior of the graph of the function f(x)=2x^35x^2+x?