Evaluate `lim_(x->-1) (x^3+1)/(sin(x+1))`

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

Evaluate : lim_( x->1 ) ( x^2 + 3 )

Evaluate lim_(x to 1) (x^3-1)/(x^2-1)

lim_(x rarr1)(x-1)/(sin(x-1))

lim_(x rarr1)(x-1)/(sin(x-1))

lim_(x rarr1)(x-1)/(sin(x-1))

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

Evaluate, lim_(x to 1) (x^(4)-1)/(x-1)=lim_(x to k) (x^(3)-k^(3))/(x^(2)-k^(2)) , then find the value of k.

Evaluate the following limit: (lim)_(x->1)(x^3+x^2-2)/("sin"(x-1))

Evaluate lim_(xtooo)[(x^(4)sin((1)/(x))+x^(2))/((1+|x|^(3)))].