anonymous
  • anonymous
another...lim x->0, x+xcosx/sinxcosx?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
factor
anonymous
  • anonymous
\[\frac{x(1+\cos(x))}{\sin(x)\cos(x)}\] the break in two parts as before
anonymous
  • anonymous
i got that far...let me c if the next step jumps out at me

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anonymous
  • anonymous
think about a limit that you know (hint, sine) and a limit that is obvious
anonymous
  • anonymous
haha its not
anonymous
  • anonymous
k...
anonymous
  • anonymous
limit is 0, but its not clicking...
anonymous
  • anonymous
that is because it is not zero
anonymous
  • anonymous
oh man that i am really lost now..i thought the lim of sine at 0 is 0?
anonymous
  • anonymous
\[\frac{x}{\sin(x)}\times \frac{1+\cos(x)}{cos(x)}\]
anonymous
  • anonymous
x/sinx=1 righ?
Zarkon
  • Zarkon
as x goes to zero...yes
anonymous
  • anonymous
still lost on how the 2 comes out as the answer?
anonymous
  • anonymous
does 1+cosx/cosx=2?
Zarkon
  • Zarkon
cos(0)=1
Zarkon
  • Zarkon
(1+1)/1=2
anonymous
  • anonymous
1+cos(x) is 1+1?
anonymous
  • anonymous
got it!!!!!!!
Zarkon
  • Zarkon
\[\lim_{x\to 0}\frac{1+\cos(x)}{\cos(x)}=\frac{1+1}{1}=2\]
anonymous
  • anonymous
thanks zarkon and satel!!!

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