Question

if f(x) =tanx -x and g(x) = x^3 evaluate the limit of (f(x))/g(x) as x approaches zero.



a.0
b. 3
c. ∞
d. 1/3

Answer 1

d

Answer 2

i get a 0 answer again u guys

Answer 3

if I'm not worng, it should be a.

Answer 4

no the answer is d

Answer 5

but hey, we are wrong kingkos, it's not 0, because it's : tanx-x = 0, and it's 0/0
so the result is indeterminate

Answer 6

nenadmatematika, proove your result

Answer 7

ok guys check my other question all my answer is 0

Answer 8

Use l'Hopital's rule or expansion of tanx

Answer 9

answer is indeterminate... not 0 @ kingkos look at up my explanation

Answer 10

use derivative over derivative 3 times(l'Hopital rule) and you'll get 1/3

Answer 11

u get my prof nenadmate thats what he say to me

Answer 12

ugh, sorry all, nenadmatematika is right....

Answer 13

nenad can u check my other question if my answer is correct

Answer 14

L'Hopital's rule...

Answer 15

No once Is enough
remember this standard limit
\[\lim_{x \rightarrow 0} \tan(x) /x =1\]

Answer 16

thank u notsobright

Answer 17

I can't find your question? :D post again

Answer 18

find lim (sin2xcot4x) as x approaches to 0
my answer is 0

Answer 19

notsobright it's true, but some proffesors don't alowed to use those basic formulas...just derivatives all the time...at least my doesn't :D

Answer 20

hey kingkos, you mean sin(2x)cot(4x) or sin2*xcot4*x??

Answer 21

sin2xcot4x

Answer 22

sin2(0)cot4(o) ryt?

Answer 23

so it is 0

Answer 24

nenad is in my question lets go there

Answer 25

no... it's not right

Answer 26

1/2 is answer... on those conditions like 0, care of derivative.. etc... I g2g now

Answer 27

i got my takehome quiz letter d is wrong the prof not say the answer