`lim_(x->o)(1+2x)^(1/(2x))`

STATEMENT-1 : lim_(x->oo)(log[x])/([x])=0 . STATEMENT-2 : lim_(x->0)(sqrt(sec^2-1))/x does not exist. STATEMENT-3: lim_(x->2)(x-1)^(1/(x-2)) = 1

lim_(x->-oo)(x^2*tan(1/x))/(sqrt(8x^2+7x+1)) is

lim_(x rarr0)(1+2x)^(5/x)

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

lim_(xrarroo) (2x)/(1+4x)

lim_(x->o)[(x^4sin(1/x)+x^2)/(1+|x|^3)]=______

lim_(x->0)(1/(x^2)-1/(tan^2x))

Evaluate the limit: lim_(x->1)((2x-3)(sqrt(x)-1))/(2x^2)

lim_(x->oo) ((x^2-2x+1)/(x^2-4x+2))^x is equal to

Evaluate lim_(x to 0) ((x+4)/(2-x))^((x^(2)+2x-3)/(x-1))