Provide Solutio for RD Sharma Class 12 Chapter Continuity Exercise 8.1 Question 42
Answer:
For any value is Continuous at
Hint:
must be defined. The limit of the
approaches the value
must exist.
Given:
Solution:
If is continuous at
, then
Putting
When,
At , RHL =
Putting
When,
LHL RHL. Thus,
is discontinuous at
for any value
.
At , LHL=
Putting
When,
At , RHL =
Putting as
When,
LHL RHL
Therefore, for any value of for which
is continuous at