If `f(x)={ (x+1), if x>=1 . (x^2+1), if x<1}` discuss the continuity of the fucntion.

f(x)={(x+1), if x>=1.(x^(2)+1), if x<1} discuss the continuity of the fucntion.

f(x) {{:(x + 1"," if x ge 1 ),(x^(2)+ 1"," if x lt 1):}

f(x)= {{:(x + 1"," if x ge 1 ),(x^(2)+ 1"," if x lt 1):} Check continuity of f(x) at x = 1.

Find all points of discontinuity of f, where f is defined by f(x)={{:(x+1," if "x ge1),(x^(2)+1," if "x lt 1):}

If f(x) = |{:(1, x, x +1),(2x , x (x - 1), (x + 1)x),(3x(x - 1), x (x - 1)(x-2),(x + 1)x (x - 1)):}| Then f (100) is equal to

f(x)= {(x+1",","if" x ge 1),(x^(2) + 1",","if " x lt 1):}

If f(x) = (1 + x) (1 + x^(2)) (1 + x^(4)) (1 + x^(8)) , then f'(1) is

The number of integral values which can be taken by the expression, f (x) = (x ^(3)-1)/((x-1) (x ^(2) -x+1)) for x in R, is:

Evaluate lim_(x rarr 1) where f(x) = {(x^2 - 1, x le 1),( -x^2 - 1 , x gt 1) :}