Continuous graphs or non continuous graphs

The function f(x)=x-[x] , where [⋅] denotes the greatest integer function is (a) continuous everywhere (b) continuous at integer points only (c) continuous at non-integer points only (d) differentiable everywhere

The function f(x)=x-[x], where | denotes the greatest integer function is (a) continuous everywhere (b) continuous at integer points only ( continuous at non- integer points only (d) differentiable everywhere

The function f(x)=x-[x] , where [⋅] denotes the greatest integer function is (a) continuous everywhere (b) continuous at integer points only (c) continuous at non-integer points only (d) differentiable everywhere

The current flowing through an inductor of self inductance L is continuously increasing. Plot a graph showing the variation magnetic flux versus the current

The current flowing through an inductor of self inductance L is continuously increasing. Plot a graph showing the variation induced emf versus dI/dt

The current flowing through an inductor of self inductance L is continuously increasing plot a graph showing the variation of induced emf versus (dI)/(dt)

SHM is a type of motion in which both speed and acceleration change continuously. Draw a graph of SHM between acceleration-time