Use the following function to answer questions (a) and (b) below. f(x)equals= left brace start 2 by 2 matrix 1st row 1st column 3 minus x comma 2nd column x less than 2 2nd row 1st column x plus 1 comma 2nd column x greater than 2 endmatrix 3−x, x< 2 x+1, x> 2 (a) find modifyingbelow lim with x right arrow 2 superscript plus f left parenthesis x right parenthesislimx→2+f(x) and modifyingbelow lim with x right arrow 2 superscript minus f left parenthesis x right parenthesislimx→2−f(x). select the correct choice below and fill in any answer box(es) in your choice.(simplify your answers.) a. modifyingbelow lim with x right arrow 2 superscript plus f left parenthesis x right parenthesislimx→2+f(x) does not exist, modifyingbelow lim with x right arrow 2 superscript minus f left parenthesis x right parenthesislimx→2−f(x)equals= nothing b. modifyingbelow lim with x right arrow 2 superscript plus f left parenthesis x right parenthesislimx→2+f(x)equals= nothing, modifyingbelow lim with x right arrow 2 superscript minus f left parenthesis x right parenthesislimx→2−f(x) does not exist c. modifyingbelow lim with x right arrow 2 superscript plus f left parenthesis x right parenthesislimx→2+f(x)equals= nothing, modifyingbelow lim with x right arrow 2 superscript minus f left parenthesis x right parenthesislimx→2−f(x)equals= nothing d. the limits do not exist.