lim_(x rarr1)(x^(2)-3x+2)/(x^(2)-5x+4)

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

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

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

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

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

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

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

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))

Evaluate the following limit: (lim)_(x rarr1)(x^(4)-3x^(3)+2)/(x^(3)-5x^(2)+3x+1)