Question

find the limits when h ->0 h /tan^2h (calculus 1 style)

Answer 1

I think Lokisan did this for you last night. What don't you understand?

Answer 2

because i need to know on the trig way
what she told me i understood very clear

Answer 3

but i need to do it without the l'hopitals way

Answer 4

and i dont know :(

Answer 5

\[\lim_{h \rightarrow 0}\frac{h.\cos^2h}{\sin^2h} = \frac{0}{0} = UND\]

you have to use L'hopital's rule since you have 0/0 which is an undertermined form.

Answer 6

ok,, but the professor told me i have to trig function that can help me to define this
sinh /h
and
cosh-1

Answer 7

but why make it so complicated lol? :)

Answer 8

mm
calculus 1... i am not in cal 2... they didnt teach me the l'hopital way

Answer 9

:(

Answer 10

lol, this is calculus I too :) believe me

Answer 11

l'hopital is one of the first things taught in Cal I

Answer 12

if you understand L'hopital's rule, then you won't find difficulty solving such problems

Answer 13

mm.. so can u teachme de difficult way

Answer 14

i understand it now... but he dont want to look at that in that way

Answer 15

LOL, I'm afraid my profs skipped the difficult way ^_^" and I'm only aware of this way and many others too

Answer 16

jajaajaja,,,

Answer 17

lol, they skipped the cosh and sinh from our syllabus

Answer 18

:(....

Answer 19

OK, here is the other method (not necessarily recommended for this problem)
h lim (h cos h)/h multiplied by lim (h cos h/h) divided by lim (h tan h)/h (htan/h)

Answer 20

why cosh multiplied by cosh

Answer 21

I am just expanding cos^2 h. You can take the lim of one cos h and multiply by another cos h

Answer 22

ok so, if we change h/tan^2h by h/sin^2h/cos^h

Answer 23

Look this has too many terms to understand this method. This method is usually done for something simple like lim (sin x). If you wanted to us that method on this simple one you multiply by x and divide by x. (You are essentially dividing by 1; it changes nothing.) You are trying to manipulate it because sin x/x =1.

Answer 24

ohhhhh