" 1.(i) "lim_(x rarr1)(x^(2)-3x+2)/(x^(2)-5x+4)

lim_(x rarr1)(x^(2)-3x+2)/(x^(3)-4x+3)

lim_(x rarr1)(x^(2)-7x+12)/(x^(2)+4-3x-4)

Evaluate the following limits: (i) lim_(x rarr1)(x^(2)+3x+2)/(x^(2)+1)

lim_(x rarr -1) (x^(2)+3x+2)/(x^(2)+4x+3) =

lim_(x rarr1)(x^(2)+sqrt(x+3)-3)/(x^(2)-1)

lim_(x rarr1)((2x^(2)-x-1)/(x^(2)+x-2))=?

Consider following statements and identify correct options (i) lim_(x rarr4)((2x)/(x-2)-(8)/(x-4))=lim_(x rarr4)((2x)/(x-4))-lim_(x rarr4)((8)/(x-4)) (ii) lim_(x rarr1)((x^(2)+6x-7)/(x^(2)+5x-6))=(lim_(x rarr1)(x^(2)+6x-7))/(lim_(x rarr1)(x^(2)+5x-6))

COnsider the following statements and identify the correct options ( i ) lim_(x rarr4)((2x)/(x-4)-(8)/(x-4))=lim_(x rarr4)(2x)/(x-4)-lim_(x rarr4)(8)/(x-4) (ii) lim_(x rarr1)(x^(2)+6x-7)/(x^(2)+5x-6)=(lim_(x rarr1)(x^(2)+6x-7))/(lim_(x rarr1)(x^(2)+5x-6))

lim_(x rarr0)(3x^(2)+5x-1)/(x^(2)+2x+6)

Evaluate: lim_(x rarr 1) [(x^(2)+3x+2)/(x^(2)-5x+3)] .