NCERT Class 12-Mathematics: Chapter –5 Continuity and Differentiability Part 9
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State Whether the Statements Are True or False in Each of the Exercises 42 to 46
Question 42:
For continuity, at , each of and is equal to .
Answer: True
Question 43:
is a continuous function.
Answer: True
Question 44:
A continuous function can have some points where limit does not exist.
Answer: False
Question 45:
is a differentiable function for every value of .
Answer: False
Question 46:
is differentiable everywhere.
Answer: True
5.3 EXERCISE
Short Answer (S.A)
Question 1:
Examine the continuity of the function
Answer:
We have,
And
And
So, is continuous at
Find Which of the Functions in Exercises 2 to 10 is Continuous or Discontinuous at the Indicated Points
Question 2:
Answer:
And
Since,
So, is discontinuous at .
Question 3:
Answer:
At
And
Since,
Hence, is not continuous at