Prove that `Lim _( xto 0) ( sin x) /( x ) =1` ( x being measured in radians )

Prove that lim_(xto0)((sinx)/(x))=1 (x being in radians ) and hence Show that lim(x to 0) ((tan x)/(x)) = 1 .

Prove that lim_(theta to 0)(sintheta)/(theta)=1"("theta measured in radians)

Evaluate: lim_(xto0)(sin 3x)/(sin 7x)

Prove that underset(xrarr0)lim(sinx)/x=1 , where x measured in radians , Also evaluate underset(xrarr0)lim(sin4x)/x ?

lim_(xto0)"sin"(1)/(x) is

lim_(xto0)(|sin x|)/x is equal to :

lim_(xto0)(|sin x|)/x is equal to :