Infinite Limits and Vertical Asymptotes - Page 12

Questions
  • What is #lim_(x->0) xlnx - x^2#?
  • How do you find the limit of #e^(x-x^2)# as x approaches infinity?
  • #f(x) = (x + 1)/sqrt(x^2 + 4)# Find #lim_(x->+oo) f(x)# and # lim_(x->-oo) f(x)#?
  • There is only one vartical asymptote of the curve: #y=(2x+1)/(x^2-x+k)# What is the sum of values that #k# can have?