Page 247 - DMTH201_Basic Mathematics-1

Basic Mathematics – I

Notes
3. If is continuous at x = –3 then value of f(x) is

(a)

(b)

(c)

(d)

8.8 Review Questions

1. Find whether the function f(x) = [x] is continuous at
(a) (b) x = 3

(c) x = –1 (d)

2. Evaluate the following limits:

(a)

(b)

(c)

(d) If , prove that through f(0) is not defined.

(e) Find k so that may exist where

(f)

(g)

3. Examine the continuous of the following functions:
(a) f(x) = |x – 2| at x = 2
(b) f(x)= |x + 5| at x = –5
(c) f(x)= |a – x| at x = a

4. Find whether f(x) is continuous at x = 0 or not, where

240 LOVELY PROFESSIONAL UNIVERSITY