Find whether the function `f (x)=[x]` is continuous at `(a)x=4/3 (b) x=3 (c) x=-1 (d) x=2/3`

the function f(x)=3x-1,x 2 is continuous on

Find k if the function f(x)={(sin3x)/x ,x!=0;k/2,x=0 is continuous at x=0 . (a)3 (b) 6 (d) 9 (d) 12

Check whether the function f(X)=|x-3|+|x+2|+|x-7| is continuous at x=3,7 or not?

If f(x)={(x^2+1", "x ne 1),(" "3 ", "x=1):} , then check whether the function f(x) is continuous or discontinuous at x=1

If f(x)={(x^2+1", "x ne 1),(" "3 ", "x=1):} , then check whether the function f(x) is continuous or discontinuous at x=1

f(x)={(x[x],if 0 le x< 3),((x-1)[x],if 3lexle4)) where [x] is the greatest integer function. The function f(x) is (A) continuous and differentiable at x=3 (B) continuous at x=1,2,3 (C) continuous but not differentiable at x=3 (D) discontinuous at x=1,2,3

Examine the continuity of the function f(x)= 2x + 3 " at " x=1

Function f(x) = x^2 -3x+4 has minimum value at..... A) x= 0 B) x= -3/2 C) x= 1 D) x= 3/2

Check the continuity of the function f(x)=2x+3 at x=1

If the derivative of the function f(x) is every where continuous and is given by f(x)={{:(bx^(2)+ax+4,,, x ge 1), (ax^(2)+b, ,, x lt -1):}, then : a)a = 2, b = -3 b)a = 3, b = 2 c)a = -2, b = -3 d)a = -3, b= -2