Homework Due 8th Oct|||| Calculus I 1. Find the following limits nd the horizontal asymptotes: (A) limx!1 4×2??7 8×2+5x+2, limx!??1 4×2??7 8×2+5x+2 (B) limx!1 4×3 2×3+p9x6+15×4 (C) limx!1 4x(3x ?? p9x2 + 1) (D) limx!5 x??7 x(x??5)2 and nd the vertical asymptotes of f(x) = x??7 x(x??5)2 (E) lim!0 sin 5sin 3(F) lim!0 tan 6(G) limx!1 sin( 1x ) x 2. Using Intermediate Value theorem Show that the following equations have solutions. (A) x7 ?? 5×2 + x ?? 2 = 0 has a solution in the interval (??2; 2) (B) x2 ?? cos x = 0 has two solutions in the interval (??2 ; 2 ) (C) ex = tan x has a solution in the interval (0; 2 ) 3. Verify the following limits: (A) limx!0 1??cos x x = 0 (B) limx!0 1??cos x x2 = 1 This is wrong!! the correct problem is limx!0 1??cos x x2 = 12 1