" (ix) "li_(x rarr-1)(x^(3)+1)/(x+1)

lim_(x rarr1)(x^(3)-1)/(x-1)

li_(x rarr0)((1+x)^(n)-1)/(x)

Find value of a if lim_(x rarr1)(x^(4)-1)/(x-1)=lim_(x rarr a)(x^(3)-a^(3))/(x^(2)-a^(2))

Evaluate lim_(x rarr1)(x^(3)-1)/(x-1)

lim_ (x rarr-1) ((x ^ (3) +1) / (x + 1))

Find all possible values of a, if : lim_(x rarr a) (x^3-a^3)/(x-a)= lim_(x rarr 1) (x^4-1)/(x-1) .

li_(x rarr0)((x+8)^((1)/(3))-2)/(x)

let a=lim_(x rarr1)((x)/(ln x)-(1)/(x ln x)),b=lim_(x rarr0)((x^(3)-16x)/(4x+x^(2))),c=lim_(x rarr0)(ln(1+sin x))/(x) and d=lim_(x rarr-1)((x+1)^(3))/(3[sin(x+1)-(x+1)]) then the matrix [[a,bc,d]]

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