`lim_(x-gt1)(x^3+x^2-2)/(sin(x-1)`

lim_(x-gt0)(cos2x-cos3x)/(cos4x-1)

If L=lim_(x->2) ((10-x)^(1/3) -2)/(x-2), then the value of |1/(4L)| is

If L=lim_(x->2) ((10-x)^(1/3) -2)/(x-2), then the value of |1/(4L)| is

If L=lim_(x->2) ((10-x)^(1/3) -2)/(x-2), then the value of |1/(4L)| is

Find the limits (i) (lim)_(x->1)[(x^2+1)/(x+100)] (ii) (lim)_(x->2)[(x^3-4x^2+4x)/(x^2-4)]

lim_(x rarr-1)(x^(2)-x-2)/((x^(2)+x)+sin(x+1))

lim_(x to 0) (e^(x^2) - 1)/sin^2x

lim_(x->o)[(x^4sin(1/x)+x^2)/(1+|x|^3)]=______

Let f(x)=lim_(n->oo)(2x^(2n)sin(1/x)+x)/(1+x^(2n)) then find (a) lim_(x->oo) xf(x) (b) lim_(x->1) f(x) (c) lim_(x->0) f(x) (d) lim_(x->-oo) f(x)

lim_(x to 0)(e^(2x)-1)/(sin 3x) = ?