[" Question "1],[" Solution: "],[8x+3=27+2x],[rArr8x-2x=27-3],[rArr6x=24],[rArr x=4]

Evaluate: lim_(x rarr 3) [(x^(3)-27)/(x-3)] .

lim_(x rarr3)[(1)/(x-3)+(9x)/(27-x^(3))]

Evaluate lim_(x rarr2)(x^(3)-8)/(x-2)

lim_(x rarr3)(x^(3)-27)/(x^(2)-9)

Evaluate "lim_(x rarr0)(8^(x)-4^(x)-2^(x)+1)/(x^(2))

cosx+cos^(2) x = 1 rArr sin^(8) x + 2sin^(6) x+sin^(4) x =

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))

lim_(x rarr2)(x^(6)-24x-16)/(x^(3)+2x-12)

lim_(x rarr 2) (x^6-24 x-16)/(x^3+2x-12)

lim_(x rarr 2) (x^6-24 x-16)/(x^3+2x-12)