`lim_(x to 3)(4x^(2)-17x+15)/(x^(2)-x-6)=`

lim_(x to 1)(x^(2)-6x+5)/(x^(2)+3x-4)=

lim_(x to 3)(x^(3)-4x-15)/(x^(3)+x^(2)-6x-18)=…………………

Evaluate the following lim_(xto3)(x^2+2x-15)/(x^2-x-6)

Evaluate the following limits, if they exist : lim_(x to 3)(x^(3)-4x-15)/(x^(3)+x^(2)-6x-18) .

lim_(x rarr -3) (x^(2)-2x-15)/(x^(2)+2x-3)= ______.

Evaluate lim_(x to 0) [(3x^(2) + 4x + 5)/(x^(2) - 2x + 3)]

Evaluate lim_(x to 0) [(3x^(2) + 4x + 5)/(x^(2) - 2x + 3)]

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))