" (viii) "lim_(x rarr(1)/(2))(8x^(3)-1)/(6x^(2)-5x+1)

Evaluate the limits: lim_(xrarr1/2)(8x^3-1)/(6x^2-5x+1)

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

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

Evaluate the following limits : underset(xrarr(1)/(2))"lim"(8x^(3)-1)/(6x^(2)-5x+1)

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

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

lim_(x rarr oo)(9x^(2)-2x-7)/(6x^(2)+5x+1

Evaluate the following limit: (lim)_(x rarr-1/2)(8x^(3)+1)/(2x+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))