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

If L=lim_(x->0)(e^(-(x^2/2))-cosx)/(x^3 sinx), then the value of 1/(3L) is

lim_(xto0)((1+2x)^(10)-1)/(x) is equal to

If lim_(xto0) (f(x))/(sin^(2)x)=8,lim_(xto0) (g(x))/(2cosx-xe^(x)+x^(3)+x-2)=lamda" and " lim_(xto0) (1+2f(x))^((1)/(g(x)))=(1)/(e)," then" The value of lamda is

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

Let ("lim")_(x to1)(x^a-a x+a-1)/((x-1)^2)=f(a)dot Then the value of f(4) is _________

If L=lim_(x to oo) (x+1-sqrt(ax^(2)+x+3)) exists finitely then The value of L is

If L=("lim")_(xvecoo){x-x^2(log)_e(1+1/x)}, then the value of 8L is_____

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

If L=lim_(xtooo) (x+1-sqrt(ax^(2)+x+3)) exists infinetely then The value of a is

If L= lim_(xto0) (sin2x+asinx)/(x^(3)) is finite, then find the value of a and L.