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

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]]

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

lim_ (x rarr1) (1-x ^ (2)) / (sin pi x)

prove that lim_(x rarr1)(x^(3)-1)/(x^(2)-1)=(3)/(2)

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

lim_(x rarr 0)(e^(x^3)-1-x^3)/(sin^6(2x)=

lim_(x rarr1)(x^(2)+x+1)/(2x+3)

lim_(x rarr1)(x^(2)-1)/(x-1)

lim_(x rarr1)(x^(2)-1)/(x-1)