evaluate the limit as x=>0 of sqrt(x^2+x) - x(adsbygoogle = window.adsbygoogle || []).push({});

so i multiplied by the conjugate to get:

x^2 + x - x^2 / sqrt(x^2 +x) + x

which simplifies to:

x / sqrt (x^2 + x) + x = infinity/infinity

taking LH, you get:

1 / 1/2(x^2+x)^(-1/2) * (2x+1) + 1 = infinity/infinity again

looking ahead, it doesnt look like LH is going to help

any suggestions?

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

Dismiss Notice

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!

# L'Hopital's Rule

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