I really just need to know if I got the correct answer to the following:

find the limits of the following

1) lim x->∞ sqrt (4x<sup>8</sup>-10x<sup>3</sup>+x-4)
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbs p;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;2x<sup>4</sup>-3x

I got '2'

2) lim x->∞ x<sup>5</sup>+8x<sup>3</sup>-4x+54
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbs p;8x<sup>5</sup>+x<sup>4</sup>-3x<sup>2</sup>-1

I got '1/8'

If you require more info please say so. Thanks!