Exercise 5.3 - Chapter 5 - Differential Calculus - 11th Business Maths Guide Samacheer Kalvi Solutions
Updated On 26-08-2025 By Lithanya
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Exercise 5.3
Text Book Back Questions and Answers
Question 1.
Examine the following functions for continuity at indicated points.
Solution:
∴ The given function is not continuous at x = 2.
= 0 + 6
= 6
Also given that f(3) = 6
∴ The given function f(x) is continuous at x = 3.
Question 2.
Show that f(x) = |x| is continuous at x = 0.
Solution:
[∵ x = 0 – h]
[∵ |x| = x if x > 0]
∴ f(x) is continuous at x = 0.
