Question

\[\lim_{x \rightarrow \inf} \log_{b} x = \inf\]

is equivalent to

\[base^{\inf} = \rightarrow \inf\]

is there a restriction to base >= 1
for this to hold true?

Answer 1

yes if base = 1, then 1^n = 1
if 0<base<1 , then base^inf -> 0

Answer 2

thanks

Answer 3

yw