For the first one:
If , then goes to? ... (think of the range)
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?
Hmm I am slight confused
if I multiply by ((x+square root(x^2+3))
I get ((x^2+x^2+3))/((x+square root(x^2+3)) I used the denominator x^2 for the numerator
((x^2+x^2+3))/((x^2)) to get ((1+1+3/x^2))
But what could I use for the denominator I tried x but I think it incorrect.