When calculating the limit of the function f(x) = (x^2 + 3)/ sqrt(2x^4 + 5) as x→∞, is it correct to square the top and then place the resulting polynomial under a square root (i.e. sqrt(x^2 + 3)^2)? Then you can rewrite the problem as the square root of the limit as x→∞ of the resulting function.(adsbygoogle = window.adsbygoogle || []).push({});

So, you'll have:

sqrt(lim x→∞ (x^2 + 3)/ (2x^4 + 5))

Divide above and below by x^4 and solve. Thanks.

**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!

# Limits With Radicals.

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