For which of the following functions `f(0)` exists such that `f(x)` is continuous at x=0 `f(x)=1/((log)_e|x|)` b. `f(x)=(cos((sin|x|)/x))` c. `f(x)=x sin(pi/x)` d. `f(x)=1/(1+2^(cot x))`

For which of the following functions f(0) exists such that f(x) is continuous at f(x)=1/((log)_e|x|) b. f(x)=1/((log)_"e"|x|) c. f(x)=x sinpi/x d. f(x)=1/(1+2^(cot x))

If the function f(x) = (x(e^(sinx) -1))/( 1 - cos x ) is continuous at x =0 then f(0)=

If the function f(x)=(sin10 x)/x , x!=0 is continuous at x=0 , find f(0) .

Which of the following function is (are) even, odd, or neither? (a). f(x)=x^2sinx (b). f(x)=log((1-x)/(1+x)) (c). f(x)=log(x+sqrt(1+x^2)) (d). f(x)=(e^x+e^(-x))/2

Show that function f(x) given by f(x)={(x sin(1/x),,,x ne 0),(0,,,x=0):} is continuous at x=0

Discuss the continuity of the following functions: (a) f(x) = sin x + cos x (b) f(x) = sin x - cos x (c) f(x) = sin x . cos x

Let f(x) = sin"" 1/x, x ne 0 Then f(x) can be continuous at x =0

If f(x)=sin|x|-e^(|x|) then at x=0,f(x) is

Examine the following functions for continuity. (a) f(x)=x-5 (b) f(x)=1/(x-5) (c) f(x)=(x^2-25)/(x+5) (d) f(x)=|x-5|

Find the domain of the following following functions: (a) f(x)=(sin^(-1))/(x) (b) f(x)=sin^(-1)(|x-1|-2) (c ) f(x)=cos^(-1)(1+3x+2x^(2)) (d ) f(x)=(sin^(-1)(x-3))/(sqrt(9-x^(2))) (e ) f(x)="cos"^(-1)((6-3x)/(4))+"cosec"^(-1)((x-1)/(2)) (f) f(x)=sqrt("sec"^(-1)((2-|x|)/(4)))