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For what values of x, if any, does #f(x) = 1/((x-5)sin(pi+(3pi)/x) # have vertical asymptotes?

1 Answer

A. S. Adikesavan

Jun 26, 2016

#x=5 and x=+-3//n, n=+-1,+-2,+-3,...#,

Explanation:

#f(x)=1/(sin((3pi)/x)(5-x))#, using #sin (pi+a)=-sin a#

#f to oo#, as #x to # 3/(an integer) and 5#..

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