`lim_(x->0;)(root(3)(1+3x) \ -1-x)/((1+x)^(101)-1-101 x)` has the value equal to

lim_(x rarr0)(root(3)(1+x)-root(3)(1-x))/(x)

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

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

lim_(x-gt0) (e^(3x)-1)/(log(1+5x))

lim_(x->0) (x^3-3x+1)/(x-1)

lim_(x rarr0)(root(3)(1+x^(2))-root(4)(1-2x))/(x+x^(2)) is equal to

If the lim_(x rarr0)(1)/(x^(3))((1)/(sqrt(1+x))-(1+ax)/(1+bx)) exists and has the value equal to l, then find the value of (1)/(a)-(2)/(l)+(3)/(b)

lim_(x to 0) (sqrt(1 + 3x) + sqrt(1 - 3x))/(1 + 3x) is equal to

lim_(x to 0) (sqrt(1 + 3x) + sqrt(1 - 3x))/(1 + 3x) is equal to