Question

Lim x-> 0 , 6x^2 (cot x)(csc2x)

Answer 1

I have it to 6x^2 (cos x/sin x)(1/sin2x)

Answer 2

then using the formula sin2A=2sinAcosA to simplify further...

Answer 3

Ok

Answer 4

Then what?

Answer 5

show me what u get so far plz? :)

Answer 6

Lim x -> 0 , 6x^2(cos x/sin x)(1/2sin x cos x)

Answer 7

simplify by canceling n regrouping terms above n below the / sign plz

Answer 8

Cos x = 1 not sure what do with the rest

Answer 9

nope, ok i will write it out...

Answer 10

Sorry this has really been frustrating me

Answer 11

6x^2*(cosx/sinx)*(1/2sinxcox) so far so good?

Answer 12

just be patience - u will work it out! :)

Answer 13

Thanks

Answer 14

Welcome :) Notice how u can cancel the cosx term and group the sinx term together in the eqn?

Answer 15

Ok so does it become 1/3sin x

Answer 16

nope....u missed some terms there. remember sinx*sinx=(sinx)^2

Answer 17

2 sin x^2

Answer 18

It should be 2* x^2/(sinx)^2....plz check n make sure u get the same result here

Answer 19

Where did the 2x^2 come from on top

Answer 20

U said it urself "I have it to 6x^2 (cos x/sin x)(1/sin2x)" scroll up if u dont believe me lol

Answer 21

I do lol just still confused

Answer 22

take a moment n read everything once more....next step will be a leap :O

Answer 23

Ok so right now I have 6x^2(1/sin x)(1/2sin x)

Answer 24

yup yup very good so 6/2=3 and then re-group so that u got the following:
3*(x/sinx)*(x/sinx) <- plz make sure u understand how i get here

Answer 25

What happened to the x^2

Answer 26

it becomes the (x/...) and (x/...)

Answer 27

Thought so. Thanks for being patient with me a putting up with me.

Answer 28

So the answer is 3

Answer 29

Bingo, good job! :)

Answer 30

U are welcome