Question

prove that limx→∞ (arctanx/x ) = ∞. solve this one prove that limx→∞ (arctanx/x ) = ∞. solve this one @Mathematics

Answer 1

The limit is not infinity, but zero.

Answer 2

lim arctan(00) / 00 = lim pi/4 / 00 = 0

Answer 3

the quation is to prove,,,,

Answer 4

the limit is infinite,,,

Answer 5

no it isnt

Answer 6

prove? do you have a 100 dollars ? lol

Answer 7

hassank, use properties of limits

Answer 8

sure

Answer 9

\[\lim_{x\to\infty}\frac{\arctan(x)}{x}=\frac{\lim_{x\to\infty}\arctan(x)}{\lim_{x\to\infty}x}=\frac{\pi/2}{\infty}=0.\]

Answer 10

yes she is right

Answer 11

she is right,,,but iam right toooo

Answer 12

you can prove seperately lim arctan x goes to pi/4

Answer 13

errr, pi/2 ?

Answer 14

the lmit can be infinite to

Answer 15

\[ \lim_{x \rightarrow \infty} \arctan(x) = \pi/2 \]
and
\[ \lim_{x \rightarrow \infty} 1/x = 0 \]
Therefore
\[\lim_{x \rightarrow \infty} \arctan(x) /x = \lim_{x \rightarrow \infty} \arctan(x) \ \ . \ \ \lim_{x \rightarrow \infty} 1/x = (\pi/2) \ .\ 0 = 0 \]

Answer 16

but my quation is show that the limit can be infite,,,i know your answer is correct,,,but show that it can be infinite

Answer 17

I know that 2 + 2 = 4, but show that 2 + 2 = 100000000 as well.

Answer 18

what across said

Answer 19

i have got this quation from my teacher,,,

Answer 20

if x->0 , i believe it is going to infinity

Answer 21

f(x) = arctanx/x ; g(x) = 1/x

make a graph of both functions,,,,and solve the joining point which is tan x

after that you se the graph of f(x) > g(x) after the joining point,,,

then make integral from tanx to infinite ((f(x)-g(x)) and you will that the limit ends infinite

Answer 22

and?