Could someone please check my work

Determine The following limit using epsilon-delta method lim x 3+5 X- 1 x+ 2 F(1) = 13 + 5 Ctel = 2 guess for limit f ( x ) WTS 0 | x + 5 - 2 | LE for 8 in Terms x2+2 of E |f( x ) -1 1 = 1 x 3:5 - 2/ = 1 x 3+ 5-2x2-4 * 3- 2x2+1 X 2 + 2 x2+ 2 Factoring our / x-1/ using long division ( not shown) = x - x - 1| | x-1/ letex / lower bound A bound Ler ( x - 1 / - 1 0 /