Question

Why lim x->0 2*tan(x^2)/x^2=2?

Answer 1

The limit is incorrect, how did you find this?

Answer 2

@Mertsj what do you think?

Answer 3

The limit is 2

Answer 4

explain, please

Answer 5

http://www.wolframalpha.com/input/?i=lim+as+x+approaches+0+of+%282*tan%28x^2%29%29%2Fx^2

Answer 6

it says nothing, we must come up by hand

Answer 7

Click the show steps button

Answer 8

It shows every step.

Answer 9

I think we can break it down as lim 2 sin x^2 /cos x^2 x^2\[= 2\lim \frac{ \sin (x^2) }{ x^2 }\frac{ 1 }{ \cos (x^2) } =2\]
what do you think?

Answer 10

of course x ---> 0

Answer 11

I agree;.

Answer 12

bingo. sorry Mertsji, I have to do every thing by hand, so I am better not use the math tool

Answer 13

it is a good practice.

Answer 14

ty

Answer 15

Just another approach.

Answer 16

you are right!!!

Answer 17

lol...thanks Hoa! Keep up the good work on your end!

Answer 18

I can give it a shot. Let's take a look.