`lim_(->->1)(sin(x-1)/(x^2-1)`

lim_(x->oo)sin(1/x)/(1/x)

lim_(x rarr4)(sin(x-1))/(x^(3)-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->0)(cos^(-1)((1-x^2)/(1+x^2)))/(sin^(-1)x)

lim_(x rarr1)[sin^(-1)x]=

Let f(x) be a polynomial satisfying lim_(xtooo) (x^(2)f(x))/(2x^(5)+3)=6" and "f(1)=3,f(3)=7" and "f(5)=11. Then lim_(xto1) (x-1)/(sin(f(x)-2x-1)) is equal to

Let f(x) be a polynomial satisfying lim_(xtooo) (x^(2)f(x))/(2x^(5)+3)=6" and "f(1)=3,f(3)=7" and "f(5)=11. Then lim_(xto1) (x-1)/(sin(f(x)-2x-1)) is equal to

Evaluate the following limits: Show that lim_(x to 0)((1)/(x^(2))-(1)/(sin^(2)x))=(-1)/(3)