Jaya Legge
2021-10-27
Let f be a function defined below.
Discuss the continuity of f at x=−3,x=0, and x=1. If discontinuous, give the type of discontinuity.
liannemdh
Skilled2021-10-28Added 106 answers
Given
The function as
For
So, let us first discuss the continuity at x=0
Check for if,
Here,
For
Therefore,
and,
For
Therefore,
Hence, f(x) is not continuous at x= 0 and since left hand side and right hand side limit exists separately but not equal , so its a Jump type of discontinuity.
Now for, x=1
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