limits at infinity

Question

Evaluate the limit using the techniques of this section (limits at infinity). (You may not use L’Hopital’s Rule.)

a) lim x→−∞ 12−6x^2/ 3x+x^2 =

b) lim x →∞ ln ((e^4 )−( 6 /x+1) )

c) lim x→−∞ arcsin [cos ( 1/ x^2 )]

d) lim x→∞ (1/ x^4) cos(4x) (Hint: Use the squeeze theorem)

Answer 1

Please find the solution

Answer 2

Find the solution

Answer 3

Find the solution

Answer 4

Find the solution