the limit x approaches infinity √x + sinx

Question

lim √x + sinx

x-->∞

Answer 1

the limit of (sqrx +sinx) = infinity, as x approaches infinity

sinx oscillates between -1 and 1, as x changes

but when it's added to sqrx, it becomes insignificant, as x grows ever larger, so it can be ignored

the limit of (sqrx+sinx) = the limit of sqrx, as x approaches infinity