if `lim_(x->2) (2^x+2^(3-x)-6)/(sqrt(2^-x)-2^(1-x))-lim_(x->pi/3) (tan^3x-3tanx)/cos(x+pi/6) > e^a` then the greatest value of `a` is

lim_(x rarr2)(2^(x)+2^(3-x)-6)/(sqrt(2^(-x))-2^(1-x))-lim_(x rarr(pi)/(3))(tan^(3)x-3tan x)/(cos(x+(pi)/(6)))> then the greatest value of a is

lim_(x rarr2)(2^(x)+2^(3-x)-6)/(sqrt(2^(-x))-2^(1-x))

Evaluate: lim_(xto2)(2^(x)+2^(3-x)-6)/(sqrt(2^(-x))-2^(1-x))

The value of lim_(xto2) (2^(x)+2^(3-x)-6)/(sqrt(2^(-x))-2^(1-x))" is "

The value of lim_(xto2) (2^(x)+2^(3-x)-6)/(sqrt(2^(-x))-2^(1-x))" is "

Evaluate: lim_(xto(pi)/(3))(tan^3x-3tanx)/(cos(x+(pi)/(6)))

Evaluate lim_(x->pi)(sqrt(1-cos6x))/(sqrt2(pi/3-x))

lim_(x rarr pi/3) (sin (pi/3-x))/(2 cos x-1) =