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5. Continuity and Differentiability
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Q3 of 147 Page 159

Examine the following functions for continuity.

The given function is


For any real number k ≠ 5, we get,



Also,


Thus,


Therefore, f is continuous at point in the domain of f and thus, it is continuous function.


More from this chapter

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3

Examine the following functions for continuity.

f (x) = x – 5

3

Examine the following functions for continuity.

3

Examine the following functions for continuity.

f (x) = | x – 5|

4

Prove that the function f (x) = xn is continuous at x = n, where n is a positive integer.

Questions · 147
5. Continuity and Differentiability
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