Question

limit

Answer 1

\[\lim_{x \rightarrow 0}\frac{ \sin(\frac{ \pi }{ 3 }+x)-\sin(\pi/3) }{ x}\]

Answer 2

@ZeHanz

Answer 3

i can use l'hopistals rule right

Answer 4

@phi

Answer 5

yes, 0/0 means you can use l'hospital

Answer 6

then

Answer 7

is this right

Answer 8

yes.

you can always use wolfram to double check your answers (after giving it your best shot)
http://www.wolframalpha.com/input/?i=limit+x+-%3E+0+%5Cfrac%7B+%5Csin%28%5Cfrac%7B+%5Cpi+%7D%7B+3+%7D%2Bx%29-%5Csin%28%5Cpi%2F3%29+%7D%7B+x%7D