(vii)

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 = 2

Given, f(x) is continuous everywhere

∴ 2a + b = 5 ……………….Equation 2

Also from equation 1, f(x) is also changing its expression at x = 10

Given, f(x) is continuous everywhere

∴ 10a + b = 21 ……………….Equation 3

As, b = 21 – 10a

Putting value of b in equation 2, we get

(viii)

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, f(x) is changing its expression at x = π/2

Given, f(x) is continuous everywhere