- #1
chiakimaron
- 9
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I have no idea of the following question, please help me
Find limit x→∞〔 (a^x - 1 )/(a - 1) 〕^1/x
for (1) 0<a<1
(2) a>1
Find limit x→∞〔 (a^x - 1 )/(a - 1) 〕^1/x
for (1) 0<a<1
(2) a>1
let y=〔 (a^x - 1 )/(a - 1) 〕^1/x
Iny=1/x In(a^x - 1 )/(a - 1)
then I can't do it
limit x→∞〔 (a^x - 1 )/(a - 1) 〕^1/x
= [(-1)/(a-1)]^0 = 1
is it correct?