Question

how would i find the horizontal and vertical asymptotes of these by limits? please show work

Find all asymptotes. х 29) f(x) = X-1 30) f(x) X-1 X + 1 x=1

Answer 1

29) f(x) = (i) For horizontal asymptote: - 2-1 we og function find limits & a canal, for both should be horizontal asymptote 50) dim 2 2 2-1 w lim 7-10 ('-Y) = lim ज a(1-10) 50 lim tas- lim 1-1-O fix) 30, A at horizontal asymptote exist 02 y=1 for vertical Asymptote: It exists where denominator is zero og a function 30 lim 00 lum 2-> 2-1 2-1 atit vertical 2=1 A horizontal asympto te :- Nertical : x=1 horizontal: y=1 +(x)= 2-1 at | 30). And & Again : um = G im 7-10 2+1 =1 2-0 OY y=1