lim_(x rarr0)(ell n(2+x)+ln0.5)/(x)

lim_(x rarr 0) (ln(2+x)+ln0.5)/x is equal to

lim(x rarr0)(log(2+x)+log(0.5))/(x)

lim_(x rarr0)x log x .

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

lim_(x rarr0)x log(sin x)

lim_ (x rarr0) (ln (5 + x) -ln (5-x)) / (x)

lim_(x rarr0)(2-cotx)

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)(cotx)^(x)

lim_(x rarr0)[sin x]