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/sci/ - Science & Math


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3961422 No.3961422 [Reply] [Original]

Just a small question. I would be very grateful if someone would help me.

What is lim sin (pi / (n+1) ) ? (n goes to infinity)

>> No.3961436

[pi / (n+1)] -> 0 as n -> infinity
sin(0) = 0

>> No.3961454

<div class="math">|\sin(x)| < x</div>
<div class="math">|\lim_{x\to 0}\sin(x)|\leq |\lim_{x\to 0} x|=0</div>
<div class="math">\lim_{x\to 0}\sin(x)=0</div>
<div class="math">\lim_{n\to\infty}\sin{\frac{\pi}{n+1}}=0</div>

>> No.3961478

http://www.wolframalpha.com/input/?i=lim+n-%3E+infinity+sin+%28pi+%2F+%28n%2B1%29+%29

>> No.3961505

Thanks a bunch guys. Btw how do you write like he >>3961454
did.

>> No.3961514

>>3961505
Reda the 5th line below every form on /sci/:
Use TeX/jsMath with the [ math] (inline) and [ eqn] (block) tags. Double-click equations to view the source.