2.) Use the & - definition to prove that the following limit exists lim (x+3)=3 X-2 13 3.) Find the following limits if they exist, if they don't explain why. Do this algebraically. Do not use tables or graphs. a.) lim X-3 x+2-5 x-3 b.) lim /(s+1)-1 S-0 S sin 3t t-0 2t c.) lim 3x+3 e.) lim x-1 |x+1| 4x-3 x x+1 g.) lim uaranteed by the 2x+5x-3 x-1/2 6x-7x+2 d.) lim b)/()* f.) lim (x [x]) X2 s to the =x - 6x + 3x-x+1 x0 6x+2x-7 h.) lim