Show that the function f is continuous at x= 1 for all values of a where: (f(x) given in image)
Find its right hand and left hand derivatives at x= 1. Hence find the condition for the existence of the derivative at x= 1

Question

Show that the function f is continuous at x= 1 for all values of a
where: (f(x) given in image)
Find its right hand and left hand derivatives at x= 1 Hence find
the condition for the existence of the derivative at x= 1

Saksham Tolani · Accepted Answer

Show that the function f is continuous at x= 1 for all values of a where: (f(x) given in image) Find its right hand and left hand derivatives at x= 1. Hence find the condition for the existence of the derivative at x= 1

Show that the function f is continuous at x= 1 for all values of a where: (f(x) given in image)
Find its right hand and left hand derivatives at x= 1. Hence find the condition for the existence of the derivative at x= 1