[" (2) A function "f(x)" is defined as "],[qquad [f(x),=x+a,x<0],[,=x,0<=x<1],[,=b-x,x>=1]]

If a function f(x) is defined as f(x)={-x,x 1 then

The function f(x) is defined by f(x) = (x+2)e^(-x) is

A function f(x) is defined as follows: f(x)={x^(2), if x!=1 and 1, if x=1 Prove that lim_(x rarr1)f(x)=1

A function f(x) is defined as follows : f(x)=x," when "x lt1 =x+1," when "x gt1 =3/2," when "x=1 Draw the graph of f(x) and examine its continuity at x=(1)/(2)and x=1.

A function f(x) is defined as follows : f(x)={(x sin ""1/x ", " x ne 0),(0 ", " x=0):} Discuss its continuity at x=0

Suppose the function f(x) is defined as follows : f(x)= x(x-1)(x-2)(x-3)...(x-100) Then which one of the following is correct ?

A function f(x) is defined as f(x)=[x^(m)(sin1)/(x),x!=0,m in N and 0, if x=0 The least value of m for which f'(x) is continuous at x=0 is

A function f(x) is defined as follows : f(x)={(x^(2)"sin"(1)/(x)", if "x!=0),(0", if "x=0):} show that f(x) is differentiable at x=0.

A function f(x) is defined by, f(x) = {{:(([x^(2)]-1)/(x^(2)-1)",","for",x^(2) ne 1),(0",","for",x^(2) = 1):} Discuss the continuity of f(x) at x = 1.