If `f(x)={{:((1+|sinx|)^((p)/(|sinx|)),",",-(pi)/(6)ltxlt0),(q,":",x=0),(e^(tan3x.cot5x),":",0ltxlt(pi)/(6)):}` is continuous at x = 0, then the value of `2p+10lnq` is equal to

Let f(x)={{:((1+|sinx|)^((1)/(|sinx|))",",-(pi)/(6)ltxlt0),(e^((tan2x)/(tan3x))",", 0ltxlt(pi)/(6)),(m",",x=0):} at x=0 . Then, the value of l and m are

Let f(x) = {((1+|sin|)^(a/(|sin x|)),",",-(pi)/6 lt x lt 0),(b, ",",x = 0),(e^((tan 2x)/(tan3x)),",",0 lt x lt pi/6):} Then the value of a and b if f is continuous at x = 0, are respectively

Let f(x)={({1+|sinx|}^(a//|sinx|), -pi//6ltxlt0),(b, x=0),(e^(tan2x//tan3x), 0 Determine a and b such that f(x) is continuous at x=0

f(x) = {{:((1 + |sin x|)^((p)/(|sinx|)) " if " - pi //6 lt x lt 0 ),(e^((sin 2x )/(sin3x) )" if " 0 lt x lt pi //6 ):} and f(0) = q is continuous at x = 0 then

continuous at x = 0 Let f(x) = {{:((1 + |sin x| )^((a)/(|sin x|)), - (pi)/(6) lt x lt 0 ),(b , x = 0 ),(e^(tan 2x //tan 3x), 0 lt x lt (pi)/(6)):} Determine a and b such that f(x) continuous at x = 0 .

If f(x)={((sinx+cosx)^(cosecx),-(pi)/2ltxlt0),(a,x=0),((e^(1/x)+e^(2/x)+e^(3/x))/(ae^(-2+1/x)+be(-1+3/x)), 0ltxlt(pi)/2):} is continuous at x=0 then

Let f(x) = {{:({1 + |sin x|}^(a//|sin x|)",",-pi//6 lt x lt 0),(b",",x = 0),(e^(tan 2x//tan 3x)",",0 lt x lt pi//6):} Determine a and b such that f(x) is continuous at x = 0