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Cat da aceasta limita?Mie imi da +infinit si in barem le da 1/2...[tex] \lim_{n \to \ 1} \frac{ ln(x+1)- ln2 }{x-1}[/tex]

Răspuns :

[tex] \lim_{n \to \ 1 \frac{ln(x+1)-ln2}{x-1}= \frac{0}{0}=ned [/tex]

Aplicam L`Hospital

[tex]\lim_{n \to \ 1 \frac{(ln(x+1)-ln2)`}{(x-1)`}= \lim_{n \to \ 1 \frac{1}{x+1}= \frac{1}{1+1}= \frac{1}{2} [/tex]