" Ehow that "f(x)={[((sin3x)/(tan2x))/((3)/(2))" ,if "x<0],[(log(1+3x))/(e^(2x)-1)," if "x=0;" is continuous at "x=0" ."]

Show that f(x)={((sin3x)/(tan2x) ,, if x 0):} \ is \ c o n t i n u o u s \ a t \ x=0

Show that f(x)={(sin3x)/(tan2x),\ \ \ if\ x 0 is continuous at x=0

Show that f(x)={(sin3x)/(tan2x),quad if x 0 is continuous at x=0

The value of (2sin x)/(sin3x)+(tan x)/(tan3x) is

(2 sin x)/( sin 3x)+ (tan x)/(tan 3x)=

Show that: (sin x)/(cos3x)+(sin3x)/(cos9x)+(sin9x)/(cos27x)=(1)/(2)(tan27x-tan x)

Find the period of (a) (|sin4x|+|cos 4x|)/(|sin 4x-cos 4x|+|sin 4x+cos 4x|) (b) f(x)="sin"(pi x)/(n!)-"cos"(pi x)/((n+1)!) (c ) f(x)=sin x +"tan"(x)/(2)+"sin"(x)/(2^(2))+"tan"(x)/(2^(3))+ ... +"sin"(x)/(2^(n-1))+"tan"(x)/(2^(n))

Prove that (sinx+sin3x)/(cosx+cos3x)=tan2x

Prove that (sinx+sin3x)/(cosx+cos3x)=tan2x