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

##### 1 Answer

Feb 24, 2018

#### Explanation:

Vertical asymptotes of

either

or when

or

graph{1/((x-5)sin(pi+1/x)) [-0.996, 0.996, -0.498, 0.498]}

graph{1/((x-5)sin(pi+1/x)) [-14.41, 17.46, -8.86, 7.08]}