 |
|---|
SELECT PAGE NO.
No Books/Pages Are Available |
SELECT PROBLEM NO. FOR THE PAGE |
| PAGE: 92 | SET: Exercises | PROBLEM: 39 |
The function is 
in the interval 
.
Definition of continuity :
A function 
is continuous at 
, if 
then it should satisfy three conditions :
(1) 
is defined.
(2) 
exists.
(3) .
Condition (1): is defined.
If 
then the function is 
.
Therefore 
.
Condition (2): exists.
Left hand limit :
.
Right hand limit :
.
Left hand limit and right hand limit are equal, limit exist.
Condition (3) : .
and 
.
.
The three conditions of the continuity are satisfied, hence the function is continuous.
Therefore, the function is continuous over the interval 
.
The function is continuous over interval 
.
|
"I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!" June Barnett |
|
"Your site is amazing! It helped me get through Algebra." Charles |
|
"My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful." Dan Pease |
Simply chose a support option
  
|