" 4."(cos x)/(log x),x>0

lim_(x rarr0^(+))(cos ecx)^((1)/(log x))

lim_(x rarr 0) (log_(sec x//2) cos x)/(log_(sec x)cos x//2) is equal to :

lim_(x rarr 0)(1-cos x)/(x log(1+x))

if f(x) ={{:( (x log cos x)/( log( 1+x^(2) )), x ne 0) ,( 0, x=0):} a. f is continuous at x = 0 b. f is continuous at x = 0 but not differentiable at x = 0 c. f is differentiable at x = 0 d. f is not continuous at x = 0

underset(0)overset(pi//4)int log ((sin x+cos x)/(cos x))dx

int_(0)^((pi)/(4))log((sin x+cos x)/(cos x))dx

lim_(x rarr0)(1-cos x)/(x log(1+x))

If f(x)= {{:(,(x log cos x)/(log(1+x^(2))),x ne 0),(,0,x=0):} then