lim_(x rarr1)(1+ln x)^(sec(x)/(2))

lim_ (x rarr1) (1 + ln x) ^ (sec [(pi x) / (2)])

lim_ (x rarr1) (sec ((pi x) / (2)) log x) =

STATEMENT-1: lim_(x rarr oo)(log[x])/(sqrt(([x])/(sec^(2)-1)))=0 STATEMENT-2: lim_(x rarr0)(sqrt(sec^(2)-1))/(x) does not exist.STATEMENT-3: lim_(x rarr2)(x-1)^((1)/(x-2))=1

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)(ln(1+x)^(1+x))/(x^(2))-(1)/(x)

lim_(x rarr0)((log_(sec(x/2))cos x)/(log_(sec x)cos((x)/(2))))=

lim_(x rarr0)(cot x)^((1)/(log x))

lim_(x rarr0)[(ln cos x)/((1+x^(2))^((1)/(4))-1)]

lim_ (x rarr e) (ln x) ^ ((1) / (ln ((e) / (x))))

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