lim_(x rarr0)(log(cos x))/(x)

lim_(x rarr0)(log cos x)/(sin^(2)x)

a=lim_(x rarr0)(ln(cos2x))/(3x^(2)),b=lim_(x rarr0)(sin^(2)2x)/(x(1-e^(x))),c=lim_(x rarr1)(sqrt(x)-x)/(ln x)

lim_(x rarr0)(log(1+x))/(x)=1

Prove quad that quad (i) lim_(x rarr0)(a^(x)-1)/(x)=log_(e)aquad (ii) lim_(x rarr0)(log_(1+x))/(x)=1

lim_(x rarr0)(cos x)^((1)/(x))

lim_(x rarr0)(cos x)^((1)/(x))

lim_(x rarr0)(cos x)^((1)/(x))

lim_(x rarr0)(cos x)^((1)/(x))

lim_(x rarr0)x log(sin x)

lim_(x rarr 0) (log(sinax))/(log(sinbx))