Evaluate:

where denotest the greatest integer function.

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- June 9th 2009, 07:04 AMfardeen_genGreatest integer and modulus function limit?
Evaluate:

where denotest the greatest integer function.

- June 10th 2009, 02:57 PMthe_doc
I don't believe this function's limit can be defined from the left as the greatest integer function jumps from when x is just less than 0 to when it is 0.

- June 11th 2009, 02:53 AMMoo
- June 11th 2009, 04:47 AMthe_doc
Had a look at the question again and you're correct Moo - I misread. It does exist as we only need to get arbitrarily close to x=0 to define the limit.

In which case we can consider the range where

for odd

for even so within this range

Also in this range we have that

and so since

when