Determining Limits Algebraically - Page 66

Questions
  • If #f(x)=(4x^2-7x-2)/(x-2),x!=2#,find #aδ>0# such that #|f(x)-9|<1/100# for #0<|x-2|<δ#. Hence show that #lim_(xto2)f(x)=9#?
  • How do I find this in terms of constant A? lim as h--> 0 7(a+h)^2-7a^2.
  • How to evaluate limits #[e^x-(1-x)]/x# as x approaches 0?
  • Could someone help me evaluate this another limit?
  • Could someone help me evaluate this limit?
  • Need help with Lagrange multiplier question?
  • What is the limit as #x -> ∞# of #(x^2 + 2) / (x - 1)#?
  • How do you calculate this limit without using l’Hospital’s rule: lim √(x^2 +1) -1 / √(x^2+16) - 4 as x → 0 ?
  • Is the answer for #lim_(x->2)(x+1)/(x^2-x-2# 0?
  • Find a and b such that f(x)=x^2+ax+b has an average value of 34/3 over [0,1] and an average value of 88/3 over [0,5]?
  • What are the asymptotes and removable discontinuities, if any, of #f(x)= 1/x^2+2#?