(v)

A real function f is said to be continuous at x = c, where c is any point in the domain of f if

h is a very small positive number. i.e. left hand limit as x → c (LHL) = right hand limit as x → c (RHL) = value of function at x = c.

A function is continuous at x = c if

From equation 1, it is clear that f(x) is changing its expression at x = –1

Given, f(x) is continuous everywhere

∴ a + b = 4 ……………….Equation 2

Also from equation 1,  f(x) is also changing its expression at x = 0

Given, f (x) is continuous everywhere

(vi)

A real function f is said to be continuous at x = c, where c is any point in the domain of f if

h is a very small positive number. i.e. left hand limit as x → c (LHL) = right hand limit as x → c (RHL) = value of function at x = c.

A function is continuous at x = c if

From equation 1, it is clear that f(x) is changing its expression at x = 0

Given, f(x) is continuous everywhere