How do you find the vertical, horizontal and slant asymptotes of: # f(x)= (3x + 5) /( x - 2)#?

Question
Answer 1

vertical asymptote x = 2
horizontal asymptote y = 3

#lim_(xto+-oo),f(x)toc" (a constant)"#
#((3x)/x+5/x)/(x/x-2/x)=(3+5/x)/(1-2/x)#
as #xto+-oo,f(x)to(3+0)/(1-0)#
#rArry=3" is the asymptote"#
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