Limits at Infinity and Horizontal Asymptotes - Page 11

Questions
  • How do you find #lim cost/t^2# as #t->oo#?
  • What is the limit of #(2x^2 + 1)^0.5 / (3x -5)# as x goes to infinity?
  • I need help reading this graph, and finding the required limits. Can anyone help me please?
  • How do you proof the limit of (x+1)/(x-1) is negative infinity as x approaches 1−?
  • What are the largest open interval on which f is increasing and the largest open interval on which f is decreasing?
  • #x+-y = 0# are asymptotes to the family of Rectangular Hyperbolas (RH) #x^2-y^2=+-c^2#. How do you prove that the multitude of straight lines #x+-y=a# are asymptotes to the RH family?
  • How do I find the asymptotes (HA and VA) of f(x)=ln(1+x^3) using limits of infinity?
  • How do you find #lim t/sqrt(4t^2+1)# as #t->oo#?
  • What is the limit of #|x|# as #xrarroo?#
  • What are the asymptotes for the function #y= ((x-3)(x+4))/(x+2)# ?
  • What is the equation of the horizontal asymptote of #g(x) = 5x +4#?
  • How can I do the limit for this problem?
  • Find the horizontal asymptote. can you write it with steps and details please? Thank you ^^
  • What are the asymptotes of this function?
  • Find the horizontal? Steps please, thank you ^^