I was working on this homework and checking myself using an online limit finder but my work and the answer never matched and now im more confused and wanted to see the steps on how to do these

1. Determine the following limits: r' - x+ 3 (a) lim r +1 2x+1 (b) lim (r + 2) (x - 2) (x + 1) 4-2 r+2 $2 - 2 (c) lim s-+2 83 + s2 - 2s - 2 (d) lim V2+1 -2 1-+3 r - 3 Vh +2 - v2 (e) lim h-0 h (f) lim 1-+0 tvitt u2 - 4 (g) lim 1-+2 V u3 + u2+ 3u +3 (h) lim v2x4 - -13 +7x2 -3 I-+2 r2 +10r-11 2. Consider f (x) = I -6x+5 -2-x2 (a) Evaluate lime-+1+ f (I) (b) Evaluate lim,-+1- f (I) (c) Determine if lime-+1 f (1) exists. 3. Use the limit laws and the graphs of f and g below to determine the following limits. The function / is in red and the function g is in blue. (a) lim vf (r) +g (x) (b) lim f(x)g(x) (c) lim f (x) + 9(2) f (z)