Determining When a Limit does not Exist - Page 3

Questions
  • What is the limit as x approaches ∞ in the gamma function? Does it even exist?
  • Examine whether lim_"x→0"e^(1/x)/e^(1/x)+1 exits or not?
  • How to take a limit of (x^2 +3*x + 2)/(x^4+4*x+3), lim->-1?
  • How do you find #\lim _ { x \rightarrow 0} \frac { - 2x ^ { 3} + x + 1} { x ^ { 2} + 3x }#?
  • How do you know a limit does not exist?
  • What is the limit of #sqrt(4-x^2)# as #x# approaches #2#?
  • Why is #lim_(xrarr-3)(x^2-9)/(x+3)# #-6#? If I solve it by factoring, yes I get #-6# but I read somewhere that if the degree of the numerator is greater than the degree of the denominator, then the limit does not exist?
  • What is the mistake in these steps ?
  • Is the lim exists when #lim_(x->0) f(x)= +- oo?#