" et "f(x)=[[(ell n cos x)/(root(4)(1+x^(2))-1)," if "x>0],[(e^(sin4x)-1)/(ln(1+tan2x))," if "x<0],[" it possible to define f(0) to make the function continuous at "x=0." If yes what is the value of "]

let f(x)=(ln cos x)/((1+x^(2))^((1)/(4))-1) if x>0 and f(x)=(e^(sin4x)-1)/(ln(1+tan2x)) if x<0 Is it possible to difine f(0) to make the function continuous at x=0. If yes what is.the value of f(0), if not then indicate the nature of discontinuity.

let f(x)=(lncosx)/{(1+x^2)^(1/4)-1} if x > 0 and f(x)=(e^(sin4x)-1)/(ln(1+tan2x)) if x < 0 Is it possible to difine f(0) to make the function continuous at x=0 . If yes what is.the value of f(0) , if not then indicate the nature of discontinuity.

let f(x)=(lncosx)/{(1+x^2)^(1/4)-1} if x > 0 and f(x)=(e^(sin4x)-1)/(ln(1+tan2x)) if x < 0 Is it possible to difine f(0) to make the function continuous at x=0 . If yes what is.the value of f(0) , if not then indicate the nature of discontinuity.

let f(x)=(lncosx)/{(1+x^2)^(1/4)-1} if x > 0 and f(x)=(e^(sin4x)-1)/(ln(1+tan2x)) if x < 0 Is it possible to difine f(0) to make the function continuous at x=0 . If yes what is.the value of f(0) , if not then indicate the nature of discontinuity.

lim_(x rarr0)(sqrt(1+sin3x)-1)/(log(1+tan2x))

Find k, if possible, so that f (x)= [{:((ln (2- cos 2x))/(ln ^(2) (1+ sin 3x)),,, x lt 0),(k,,, x=0),((e ^(sin 2x )-1)/(ln (1+ tan 9x)),,, x gt 0):} is continious at x=0.

Find k, if possible, so that f (x)= [{:((ln (2- cos 2x))/(ln ^(2) (1+ sin 3x)),,, x lt 0),(k,,, x=0),((e ^(sin 2x )-1)/(ln (1+ tan 9x)),,, x gt 0):} is continious at x=0.

If f(x)="sin ln" (sqrt(4-x^(2)))/(1-x), then

If f(x)="sin ln" (sqrt(4-x^(2)))/(1-x), then