then
f(x ) is continous at x= 0
f(x) has non - exsiting limit at x= 0
f(x) has LHL=RHL = f(0)
f(x) has removable discontinuty at x=0
As we have learned
Removal discontinuity -
A function f is said to possess removable discontinuity if at x = a :
- wherein
f(0)=1
Limit exists but not equal to f(0)
removable discontinuity at x= 0
Option 1)
f(x ) is continous at x= 0
Option 2)
f(x) has non - exsiting limit at x= 0
Option 3)
f(x) has LHL=RHL = f(0)
Option 4)
f(x) has removable discontinuty at x=0
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