Question

what is the limit of h/tan(h) as h approches 0?

Answer 1

write tan h as sin x / cos x

Answer 2

\[\frac{ h }{ \frac{ \sinh }{ \cosh } }\]

Answer 3

write that as
cos x /(sin x/x)
did u understand how ?

Answer 4

wouldn't it be \[\frac{ hcos(h) }{ \sin(h) }\]

Answer 5

oops, sorry i used x instead.
yes, and u can bring that h in denominator of sin h to get
cos h/(sin h/h)
ok ?

Answer 6

how could I bring the h to the denominator?

Answer 7

divide h in numerator and denominator

Answer 8

the answer is 1. how would i get that?

Answer 9

put h=0 in cos h (cos 0 = ?)
use the standard limit sin x/x = 1
for denominator

Answer 10

ok thanks

Answer 11

welcome ^_^
i hope u understand all steps.