Can someone tell me if my logic behind this question is correct

the answer is

where 'n' is any integer

logic: since arctangent is the inverse of tangent and

multiplying these boundaries by tan would result in a discontinuity

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- Sep 17th 2008, 08:11 PMsilencecloakLocate the discontinuities
Can someone tell me if my logic behind this question is correct

the answer is

where 'n' is any integer

logic: since arctangent is the inverse of tangent and

multiplying these boundaries by tan would result in a discontinuity - Sep 17th 2008, 08:33 PMJhevon
- Sep 17th 2008, 08:47 PMJhevon
- Sep 17th 2008, 09:19 PMsilencecloak
- Sep 18th 2008, 05:36 AMAryth
We know that because of the identity using . We know that:

So, when

Which is undefined and therefore discontinuous, and when

Which is zero for all nonzero results of , so the logarithm is therefore discontinuous because it is not defined at zero.