Question

find the limit

Answer 1

where is it?

Answer 2

write whole que.

Answer 3

\[\lim_{x \rightarrow \infty} \frac{ \log_{e}x }{ a ^{x} } \]

Answer 4

use L'Hopital rule so as to get the answer zero

Answer 5

the answer depends on the value of a

Answer 6

the answer is not zero i also got that but the answer is \[e ^{a}\]

Answer 7

\[e^a\] is not the answer

Answer 8

iam not lying it is given in the excercise book with least possibility of any error

Answer 9

your book is incorrect

Answer 10

i think you may need some greater proofs to impress me for that and i hope it is too early to say that, there are many others and might be someone else knows the correct way

Answer 11

@satellite73 plz help

Answer 12

@experimentX

Answer 13

@Callisto

Answer 14

well a=1 simply gives us infinity..

other than that,,i maybe agree with @Zarkon since after applying LH rule once,,we find it equating to 0..

Answer 15

and what if \(0<a<1\)

Answer 16

its a >1 given in the question

Answer 17

then the answer is 0

Answer 18

i see..then i'd go with @Zarkon

Answer 19

also, if you knew 'its a >1 given in the question' then you should have included that in the original post.

Answer 20

iam sorry for that

Answer 21

@Callisto what do u think

Answer 22

@mukushla plz help