Asked by Nikita
Find
a) lim (ln x)^1/x
x->infinity
b) lim (x-1)^lnx
x->1+
a) lim (ln x)^1/x
x->infinity
b) lim (x-1)^lnx
x->1+
Answers
Answered by
bobpursley
lim (lnx)^1/x
take the antilog
(e^x)^(1/x)=e^1=e
take the ln...
lim= 1
take the antilog
(e^x)^(1/x)=e^1=e
take the ln...
lim= 1
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