Calculus
posted by Joe .
find the limit. use L'Hopital's Rule if necessary.
lim (x^2+3x+2)/(x^2+1)
x > 1

In this case you don't need L'Hopital's Rule. The denominator is not zero at x = 1
The function equals 0/2 = 0 at x=1 
So you just plug 1 into the equation to get the limit?

isn't there a way you do it with the derivatives?

Joe, you dont' always have to use Calculus to do Limit questions, just like drwls said.
The first thing I do is sub the approach value into your expression, there are three possilbilities:
1. your get a real number as an answer as above, 0/2 is real.
That is the answer to that limit, write it down and you are done.
2. you get a/0, where a is not equal to zero.
This is undefined, and there is no limit .
3. you get 0/0
This is the classic case and that is where the Calculus comes in.
You may try to factor it, if it is a simple algebraic expression, I can guarantee you it will factor.
If the expression is transcendental, that is it contains logs, trig or some other weird mathematical operation you might want to use L'Hopital's rule
Respond to this Question
Similar Questions

limit calc question
2 questions!!! 1. Limit X approaching A (X^1/3a^1/3)/ xa 2. LiMIT x approaching 0 (1/3+x – 1/3) /x On the first, would it help to write the denominator (xa) as the difference of two cubes ((x^1/3 cubed  a^1/3 cubed) second. use … 
Calculus
yes! tnk u ok? It's actually (x>0.) Find the limit of cot(x)csc(x) as x approached 0? 
Calculus
Find the limit. Use L'Hopitals Rule if necessary. lim (x^2+3x+2)/(x^2+x) x > 0 
Calculus
Using L'Hopital's Rule, find the limit: lim x>0+ (as x approaches 0 from the right) of sinx/x^(1/3) 
calculus, limits, l'hopital
Using l'hopital's rule, find the limit as x approaches infinity of (e^(6/x)6x)^(X/2) I know l'hopital's rule, but this is seeming to be nightmare. I just don't seem to get anywhere. 
calculus, limits, l'hopital
Using l'hopital's rule, find the limit as x approaches zero of (e^(6/x)6x)^(X/2) I know l'hopital's rule, but this is seeming to be nightmare. I just don't seem to get anywhere. I mistyped the first time I posted this question. 
calc
Use L’Hopital’s rule to find the limit of this sequence (n^100)/(e^n) ...If you do L'Hop. Rule it would take forever, right? 
Calculus
I am maybe overthinking this, but what is the lim as n> infinity of (n+1)/(n+2) ? 
Calculus
Can someone help find limit using l'hopital rule lim x → ∞ ((3x4)/(3x+2))^(3x+1), I'm trying to solve by adding ln function to both side. 
calculus
find the limit without using L'Hopital's Rule Lim(X>4) (16x^2 / x+4)