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

If L=lim_(xto0) (e^(-x^(2)//2)-cosx)/(x^(3)sinx) , then the value of 1//(3L) is ________.

If L=lim_(xrarr0)((e^(-x^(2)/2)-cosx)/(x^(2)tan^(2)x)) , then the value of 3L is equal to

If L= lim_(xto2) (root(3)(60+x^(2))-4)/(sin(x-2)) , then the value of 1//L is________.

If L=lim_(x rarr2)((10-x)^((1)/(3))-2)/(x-2), then the value of (1)/(4L)| is

lim_(x rarr 0) (e^x+e^-x-2 cosx)/(x sinx)

lim_(xrarr0) (e^(x^(2))-cosx)/(x^2) is equal to

Evaluate lim_(xto0) (e^(x^(2))-cosx)/(x^(2))

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

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

If lim_(xto0)(sin^(-1)x-tan^(-1)x)/(3x^3) is equal to L, then the value of (6L+1) is :