Apologies if this is in the wrong place. I'm struggling to understand a step in finding a limit(adsbygoogle = window.adsbygoogle || []).push({});

Lim(x->0) x.sqrt(x+2) / sin(x)

Following the given solution I get to the point where it's all divided through by x to give

Sqrt(x+2) / sin x/x

Which as approaching 0 gives

Sqrt(2) / 1 = sqrt(2)

I'm struggling how sin x/x is 1

Any help would be great and any advice on limits or links to resources would be appreciated!

**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!

# Finding a limit

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