NompsypeFeplk

2021-11-15

Discuss the continuity of the function

on the open interval

Volosoyx

Beginner2021-11-16Added 10 answers

Consider the function,

To check function f(x) is continuous on open interval 0 In open interval 0 The function

Therefore f(x) is continuous on interval (0,2)

To check function f(x) is continuous on closed interval

If function f(x) is continuous at points x=2 then,

To calculate the left hand limit,

To calculate the right hand limit,

Here left hand limit is not equal to right hand limit.

Hence, the function is discontinuous.

22+64

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