Question

another...lim x->0, x+xcosx/sinxcosx?

Answer 1

factor

Answer 2

\[\frac{x(1+\cos(x))}{\sin(x)\cos(x)}\] the break in two parts as before

Answer 3

i got that far...let me c if the next step jumps out at me

Answer 4

think about a limit that you know (hint, sine) and a limit that is obvious

Answer 5

haha its not

Answer 6

k...

Answer 7

limit is 0, but its not clicking...

Answer 8

that is because it is not zero

Answer 9

oh man that i am really lost now..i thought the lim of sine at 0 is 0?

Answer 10

\[\frac{x}{\sin(x)}\times \frac{1+\cos(x)}{cos(x)}\]

Answer 11

x/sinx=1 righ?

Answer 12

as x goes to zero...yes

Answer 13

still lost on how the 2 comes out as the answer?

Answer 14

does 1+cosx/cosx=2?

Answer 15

cos(0)=1

Answer 16

(1+1)/1=2

Answer 17

1+cos(x) is 1+1?

Answer 18

got it!!!!!!!

Answer 19

\[\lim_{x\to 0}\frac{1+\cos(x)}{\cos(x)}=\frac{1+1}{1}=2\]

Answer 20

thanks zarkon and satel!!!