lim_(x rarr1)[tan((pi)/(4)+log x)](1)/(log x)" is "

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

lim_(x rarr1)(1-x)tan(pi x)/(2)=

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

lim_(x rarr1)((x)/(x-1)-(1)/(log x))

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

lim_(x rarr1)(log x)/(x-1)=

lim_(x rarr0)(log tan2x)/(log tan x)

lim_(x rarr1)(log(1-x))/(cot pi x)

let a=lim_(x rarr1)((x)/(ln x)-(1)/(x ln x)),b=lim_(x rarr0)((x^(3)-16x)/(4x+x^(2))),c=lim_(x rarr0)(ln(1+sin x))/(x) and d=lim_(x rarr-1)((x+1)^(3))/(3[sin(x+1)-(x+1)]) then the matrix [[a,bc,d]]

Evaluate lim_ (x rarr0) (ln (tan ((pi) / (4) + ax))) / (sin bx)