" 2."lim_(x rarr1)(6x^(2)-4x+3)

Evaluate: lim_(x rarr 1) [(x^(4)-2x^(3)-x^(2)+2x)/(x-1)] .

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

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

Evaluate: (i) lim_(x rarr 1) (x^(2)+6x+4) (ii) lim_(x rarr 4) (x^(3)+4)/(1-x) (iii) lim_(x rarr 2)sqrt(36-x^(2))

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

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

lim_(x rarr3)(x^(2)-9)/(x^(3)-6x^(2)+9x+1)

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