find-lim-x-0-log-x-n-x-x-n-N-where-x-represents-greatest-integer-less-than-or-equal-to-x-

Question Number 141966 by gsk2684 last updated on 25/May/21

f i n d \lim_{x \to 0} \frac{\log x^{n} - [x]}{[x]}, n \in N w h e r e

[x] r e p r e s e n t s g r e a t e s t i n t e g e r l e s s t h a n o r e q u a l t o x .

Commented by gsk2684 last updated on 25/May/21

s o l u t i o n p l e a s e

Commented by mathmax by abdo last updated on 26/May/21

limit give \frac{- \infty}{0} - 1 (indetermined form and 0 here is not 0^{+} or 0^{-})

Commented by gsk2684 last updated on 26/May/21

f r a c t i o n i s s p l i t i n t o t w o t e r m s .

t h e n i c o u l d n o t u n d e r s t a n d w e l l .

e x p l a i n m e i n d e t a i l e d p r o o f s i r .

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