Question

lim n-> infinity of n/(10^n)

Answer 1

it's in indeterminate form so I used l'hospitals rule to get...

Answer 2

1/ 10^n ln10

Answer 3

where from here?

Answer 4

why'd you take the ln ?

Answer 5

it's zero,10^n grow up much more fast than n

Answer 6

what do you mean?

Answer 7

o wait nvm i thought it as msething else

Answer 8

the derivative of the denominator is 10^n ln10

Answer 9

yes simply put infinity in and you'll see that the bottom exponentialy grows while the top stays the same

Answer 10

one is a line and other exponential,so it is zero

Answer 11

1/infinity is zero...thanks!

Answer 12

You can just notice that the bottom increases at a much faster rate than the numerator, so it must approach 0

Answer 13

thanks so much

Answer 14

\[\frac{d}{dn}[a^n]=ln(a)a^nn'=ln(10)10^n(1)\]

Answer 15

sorry i'm just looking at your work weird because of it being on one line lol

Answer 16

i see..lol