Can anyone help me with these limits

1. As x approaches infinity

((sin2x))/((x))

2. As x approaches infinity

((1))/((2x+sin(x))

3. As x approaches infinity

((x+ square root(x^2+3)) I have some work for this one

((x+ square root(x^2+3))/((1)) I rationalized the function

((x^2+x^2+3))/((x+square root(x^2+3))

Now my main issue is how would I get a common denominator what should I chose?