Behaviour being used: Adaptive mode
Minimum fraction: 0
Question summary: Fie funcţia f(x)=e^x/(e^x+2). 1. O primitivă a lui f(x) este {ln(absolute(e^x+2))/2; -ln(absolute(e^x+2))/2; ln(absolute(e^x+2))}. 2. Dată funcţia [g left parenthesis x right parenthesis equals fraction numerator f left parenthesis x right parenthesis over denominator # c plus e to the power of x end fraction] atunci: a. [limit as x rightwards arrow infinity of x times g left parenthesis x right parenthesis] este {1; -1; 0}. b. [integral g left parenthesis x right parenthesis d x] este {ln(absolute(-e^x-2))/2-ln(absolute(e^x+4))/2-1; ln(absolute(-e^x-2))/2-ln(absolute(e^x+4))/2+1; ln(absolute(-e^x-2))/2-ln(absolute(e^x+4))/2}.
Right answer summary: part 1: ln(absolute(e^x+2)); part 2: 0; part 3: ln(absolute(-e^x-2))/2-ln(absolute(e^x+4))/2
Question state: todo