Can we say f(x)=(x)/(ln(x^2)) has a removable discontinuity at x=0?

klastiesym

klastiesym

Answered question

2022-10-29

Can we say f ( x ) = x ln ( x 2 ) has a removable discontinuity at x = 0?

Answer & Explanation

Davion Fletcher

Davion Fletcher

Beginner2022-10-30Added 9 answers

Yes, x=0 is a removable discontinuity. However, I think it is worth mentioning that if we work in the affinely extended real number system, then ln ( 0 ) = , and for any a R , a / ± = 0, so the limit (both ways) would be equal to 0.

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