(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

limit as x-> -oo of x+(x^2+3)^(1/2) (square root)

2. Relevant equations

n/a

3. The attempt at a solution

i first multiplied the top and bottom (which is just 1) by the conjugate to get:

-3

--------------

[x - (x^2+3)^(1/2)]

then i divided by x on top and bottom to get:

-3/x

-----------

[x/x - (1 + 3/x2)^(1/2)]

but now what do i do? the top goes to 0 but the bottom also goes to 0 (because its 1 - (1+0)^(1/2)). but the answer is suppose to be 0.

0/0 isnt 0. can someone point me in the right direction? thanks.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Limit to negative infinity

**Physics Forums | Science Articles, Homework Help, Discussion**