Question

Find vertical and horizontal asymptotes

sin 5x 17. Let f(x) = ** **3

Answer 1

Vertical and horizontal asymptote

f(x) = sin352 24+ x3 fol vectical asymptores, consider 24 73320 23(2+1)=0 =1&º=0 12+120 =) a=0.1*=-1 vectical asymptores are 0,-1. Bince at a limits is in finire. 2.2=-1 is vectical asymprore. at a=0 limit is finire. 2.2=0 is not recrical asymprove. ; vertical asymptore for f(x) is Line 4 ch is a holizanral asymphore. funo y = f(x) if lim fray = Lor lim Franch

lim 2709 rsin'52 7 's lim 24 743] 2 > rein3 52- 24723 using sandwitch tom, ( squeeze thim) < Sin 52 $ VI -1 x4 + x 3 << Ta 4 + 23, a4 ta 3 as or lim 230 lim 27-. os sin 52 soi x4ta3 lim sin362 lim sin 5420 lato a 4+2 x+.00 x² + x3 Q3 20 o Horizontal asymphone is 0