Let `lim_(x to 0) ("sin" 2X)/(tan ((x)/(2))) = L,` and `lim_(x to 0) (e^(2x) - 1)/(x) = L_(2)` then the value of `L_(1)L_(2)` is

Let lim_(xrarr0)(sin2x)/(tan((x)/(k)))=L_(1) and lim_(xrarr0)(e^(2x)-1)/(x)=L_(2), and the value of L_(1) L_(2) is 8, then k is

Let lim_(xrarr0)(sin2x)/(tan((x)/(k)))=L_(1) and lim_(xrarr0)(e^(2x)-1)/(x)=L_(2), and the value of L_(1) L_(2) is 8, then k is

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

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

If L=lim_(x rarr2)((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

Let L_(1)=lim_(x rarr0)((sin(2x)+cos(x)-1)/(x)) , L_(2)=lim_(x rarr oo)(sqrt(x^(2)-x)-x) , and L_(3)=lim_(x rarr4)(x^(2)-3x)/(x^(2)-x) , then the value of L_(1)L_(2)+(1)/(L_(3)) is

If L=lim_(x rarr0)(e^(-((x^(2))/(2)))-cos x)/(x^(3)sin x), then the value of (1)/(3L) is