I've been breaking the equations down. For example, problem #1 I got it down to 4x-3/(x-5)(x+2). I'm not sure where to go from here or how this equates to a positive infinity or why.

4x - 3 2. Consider f(x) = and find the following. 2 2 - 3x - 10 a. ) lim f(x) x- -2+ b.) lim f(x) x- -2- c.) lim f(x) x-5+ d. ) lim f(x) x-5