For what value of k is the following function continuous at `x=-pi/6`? ` f(x) ={(sqrt3sinx+cosx)/(x+pi/6)`, when `x!=-pi/6` `k, when x =pi/6`

For what value of k is the following function continuous at x=-(pi)/(6)?f(x)={(sqrt(3)sin x+cos x)/(x+((pi)/(6))), when x!=-(pi)/(6) and k,where x=-(pi)/(6)

For what value of k is the followinf function continuous at x=-(pi)/(6). Where f(x)=(sqrt(3)sin x+cos x)/(x+(pi)/(6)),x!=-(pi)/(6) and f(x)=k,x=-(pi)/(6)

Evaluate, lim_(xto(pi//6)) (sqrt(3)sinx-cosx)/(x-pi/6)

Evaluate lim_(xrarrpi//6)(sqrt3sinx-cosx)/((x-pi/6))

Evaluate : lim_(xto(pi)/(6))(sqrt3sinx-cosx)/((x-(pi)/(6)))

Find the values of k so that the function fis continuous at the indicated point in f(x)={((k cos x)/(pi-2x),quad if x!=(pi)/(2)),(3 if x=(pi)/(2)) at x=(pi)/(2)

Show that the function f(x)=|sinx+cosx| is continuous at x=pi .

lim_(x rarr pi/6) ((3sinx - sqrt3 cos x)/(6x-pi)) =

Find the values of k so that the function f is continuous at the indicated point f(x) = {((k cos x)/(pi-2x)",","if" x ne (pi)/(2)),(3,"if" x= (pi)/(2)):} " at " x= (pi)/(2)

Show that the function f(x) = |sinx+cosx| is continuous at x = pi .