Evaluate: `("lim")_(xrarr0)8/(x^8){1-cos((x^2)/2)-cos((x^2)/4)+cos((x^2)/2)cos((x^2)/4)}`

Evaluate lim_(xto0) (8)/(x^(8)){1-"cos"(x^(2))/(2)-"cos"(x^(2))/(4)+"cos"(x^(2))/(2)"cos"(x^(2))/(4)}.

lim_(xto0) (1)/(x^12){1-cos (x^2/2)-cos (x^4/4)+cos (x^2/2) cos (x^4/4)} is equal to

lim_(xrarr0)((1-cos x)/x^2)

The value of lim_(xrarr0)(1)/(x^(18))(1-cos((x^(3))/(3))-cos((x^(6))/(6))+cos((x^(3))/(3)).cos((x^(6))/(6))= lambda^(2) , then the value of 900lambda is equal to ("here, "lambda gt 0)

lim_(xrarr0)(cos 2x-1)/(cosx-1)

8*sin(x/8)*cos(x/2)*cos(x/4)*cos(x/8)=

Evaluate: lim_(x->0) (1-cos2x)/(x^2)

Evaluate lim_(ntooo) {cos((x)/(2))cos((x)/(4))cos((x)/(8))...cos((x)/(2^(n)))} .

The value of lim_(xrarr0)(e^(x)-cos2x-x)/(x^2) , is

The value of lim_(xrarr0) (sqrt(1-cosx^(2)))/(1-cos x) is