Oblicz granicę
lim
x->1+
ln x do potęgi(x-1) = (x-1)*lnx
Szukana granica
lim [(x-1)*lnx] = lim (x-1)*lim (lnx)
lim (x-1) = 0
lim (lnx) = 0 (bo ln 1 = 0)
więc szukana granica = 0
lim[(x-1)·ln(x)]=0·0=0
Patrz zalacznik
Pozdr
Hans
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ln x do potęgi(x-1) = (x-1)*lnx
Szukana granica
lim [(x-1)*lnx] = lim (x-1)*lim (lnx)
lim (x-1) = 0
lim (lnx) = 0 (bo ln 1 = 0)
więc szukana granica = 0
lim[(x-1)·ln(x)]=0·0=0
Patrz zalacznik
Pozdr
Hans