If `lim_(x->0)(cosx+a^3sin(b^6x))^(1/x)=e^(5/2)=e^512` , then the value `ab^2` is equal to

If lim_(x to 0) (cos x + a^(3)sin(b^(6)x))^(1//x)=e^(512) , then the value of ab^(2) is equal to

If lim_(x rarr0)(cos x+a^(3)sin(b^(6)x))^((1)/(x))=e^((5)/(2))=e^(512) then the value ab^(2) is equal to

If lim_(x rarr0)(cos x+a sin bx)^((1)/(x))=e^(2), then (a,b) is equal to

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

If lim_(x->0)(1+a x+b x^2)^(2/x)=e^3, then find the value of a and b.

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 lim_(xrarr0)1/x^2(e^(ax)-e^x-x)=3/2 , then the value of |alpha| must be

If the value of lim_(xto0) (2 - cosx sqrt(cos2x))^(((x+2)/(x^(2)))) is equal to e^(a) then a is equal to _______ .