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Mathematics 17 Online
OpenStudy (anonymous):

lim sin(180/n)*n n->infinity

OpenStudy (anonymous):

1/pi

hartnn (hartnn):

put n=1/x

OpenStudy (anonymous):

But I got pi

hartnn (hartnn):

how did u solve ?

OpenStudy (anonymous):

hartnn (hartnn):

ok, lim x->0 sin (180x)/x = lim x->0 180 sin(180x)/(180x) = 180 (1) sorry ,even i am getting 180 or pi. you are correct

OpenStudy (anonymous):

So, lim sin(x/n)*n = x n--->infinity

OpenStudy (anonymous):

???

hartnn (hartnn):

i think u have doubts in range of sin function....is it ? otherwise yes, its x

OpenStudy (anonymous):

oh..... sorry I think it is lim sin(x/n)*n = x *pi/180 n--->infinity

hartnn (hartnn):

n is in radians. so x is in ? if x is in degrees, then x*pi/180 is right.

OpenStudy (anonymous):

Because in above when x=180 we got pi

OpenStudy (anonymous):

thanx @hartnn

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