(3)` lim_(x->o)(1-cosx^2)/(x^2sinx^2)`

lim_(x->oo)(x^2 - sinx)/(x^2-2)

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

Let lim_(x->oo) sqrt((x-cos^2x)/(x+sinx)) and I_2 = lim_(h->0^+) int_(-1)^1 hdx/(h^2+x^2) . Then

Find the following limits. (i)" "lim_(xto2) (4x)/(x^(3)-3)" "(ii)" "lim_(xto1)(log_(10)x-3)/(3x-2)" "(iii)" "lim_(xto pi) (3+cosx)/(2-sinx)

the value of lim_(x->0){(cosx)^(1/(sin^2x))+(sin2x+2tan^-13x+3x^2)/(ln(1+3x+sin^2x)+xe^x)}

(lim)_(x->0)(cos2x-1)/(cosx-1)

lim_(xrarr0) (x^(2)-x)/(sinx)

Evaluate the following limit: (lim)_(x->0)(3sin^2 x-2sinx^2)/(3x^2)

Evaluate lim_(xrarr0)((1-cosx))/(x^(2))

Evaluate: ("lim")_(x->pi/2)(cosx)^(cosx)