# Math Help - limits

1. ## limits

please indicate which question you are answering, thanks so much

a)for this question , am i just supposed to plug 2 into x?
lim x->2 (x^2-3x+9) / (x-3)

b) lim x-> infinity 10^ (1/x)

c) lim x->5 (x^2-167)^(1/2) -3 / (x-5)

d) lim x->infinity x^2 - 5 / 2-3X^2

e) lim x-> -3 x^3+27 / 2x^2 + 6x

f) lim x-> 2 x^3+x-7 / x-2

2. Originally Posted by juiicycouture
please indicate which question you are answering, thanks so much

a)for this question , am i just supposed to plug 2 into x?
lim x->2 (x^2-3x+9) / (x-3)
yes

b) lim x-> infinity 10^ (1/x)
1/x goes to 0 as x goes to infinity

so lim x-> infinity 10^ (1/x) = 10^0 = 1

Originally Posted by juiicycouture
d) lim x->infinity x^2 - 5 / 2-3X^2
i answered a question similar to this here http://www.mathhelpforum.com/math-he...o-precalc.html see if you can figure it out

3. Originally Posted by juiicycouture
e) lim x-> -3 x^3+27 / 2x^2 + 6x
Here

4. And what about L'Hôpital's rule, is that forbidden?

5. Originally Posted by Krizalid
And what about L'Hôpital's rule, is that forbidden?
i think juiicycouture is in precalc

6. Originally Posted by Krizalid
And what about L'Hôpital's rule, is that forbidden?
I hate that rule with a love!

My approach to math is to use theorems to which I know a proof to (usually). The proof of L'Hôpital's rule is a complete mess. Pages and pages, cases and cases. I never was interested in doing that.