When `0<=x<=2pi` and `[x]` denotes greatest integer `<=x`, then `[sinx]+[cosx]+[sinx+cosx]` takes exactly k integer values. Then write the value of k.

If f(x) = {(|sinx|/x, when x=0),(1, when x!=0):} then examine the continuity of the function at x=0.

When DeltaG = 0 , the process is …….

sgn(x)=(|x|)/(x)=0 when x=0

log(a+ib) when a>0,b<0 is

f(x)={(0,quad x=0),(x-3,x>0) :} .The function f(x) is (a) Increasing when x>=0 (b) Strictly increasing when x>0 (c) Strictly increasing at x=0 (d) Not continuous at x=0 and so it is not increasing when x>0

If f(x)=-x, when x 0=0, when x>0 then test the continuity of f(x) at x=0

If f(x) = {(sin^(-1)|x|,",","when" x != 0),(0,",","when" x = 0):} , then

If f(x)={(x^(2)(sin)1/x,",","when" x != 0),(0,",","when"x = 0):} , then

If f(x)={((1)/(e^(1/x)+1),",","when" x != 0),(0,",","when"x = 0):} , then

If f(x)={((x)/(e^(1/x)+1),",","when" x != 0),(0,",","when"x = 0):} , then