Practicing the Intermediate 1st Year Maths 1B Textbook Solutions Inter 1st Year Maths 1B Limits and Continuity Solutions Exercise 8(b) will help students to clear their doubts quickly.

## Intermediate 1st Year Maths 1B Limits and Continuity Solutions Exercise 8(b)

Find the right and left hand limits of the functions in 1,2,3 of I and 1,2, of II at the point a mentioned against them. Hence, check whether the functions have limits at those a’s.

I.

Question 1.

Solution:

Question 2.

Solution:

Question 3.

Solution:

II.

Question 1.

Solution:

Question 2.

Solution:

Question 3.

Solution:

x → 2 – ⇒ x < 2

x – 2 < 0

|x – 2| = – (x – 2)

Question 4.

Solution:

x → 0 + ⇒ x > 0

|x| = x

Question 5.

Solution:

Question 6.

Solution:

III.

Question 1.

Solution:

∴ LHL ≠ RHL

Limit does not exists.

Question 2.

Solution: