Determining When a Limit does not Exist - Page 2

Questions
  • If #lim_{x\to\4}(f(x))=0#, find the value of #lim_{x\to\4}(x*f(x))# ?
  • How do you prove that #lim_(x->5)x^2!=24# using limit definition?
  • What is the limit of ln(x-7) as x approaches 7 from the right?
  • Finding limit of #(sqrt(3-x)-2)/(sqrt(2-x)-1)# as x approaches 1?
  • Determine the value of "a" so that the following limit exists? Lim (3x^2+ax+a+3)/x^2+x+2 x->-2
  • Let #f(x,y)={(x²y)/(x⁴+y²), " if " x⁴+y²≠0, {0, " if " x=y=0#. Check whether #lim_((x,y)→(0,0))f(x,y) # exists or not?
  • Evaluate the following. If the limit does not exist, explain why. No marks will be given if l'Hospital's rule is used? #lim_(x->-2) (|x^2-4|)/(2x^2 + 3x -2)#
  • Can you Find the limit of the sequence or determine that the limit does not exist for the sequence {n^4/(n^5+1)}?
  • Evaluate the limit, if it exists. showing clearly the steps lim h→0 (4 + h)3 − 64 h?
  • Evaluate #lim _(xrarr 0) |x|/x# ?
  • What is the limit of #lim_((x,y)->(0,0))x^2/(x^2+y^2)#?
  • What is the limit of #lim_((x,y)->(0,0))x^3/(x^2+y^2)#?
  • My proof for this limit using the definition is correct? #lim to 2^+ (1/(x-2)) = +\infty#
  • Prove that limit does not exist using epsilon delta proof : #lim_ (x->0) |x|/x# ? Please show the scratch work too.
  • Does the value of a function at a point have to exist in order for the limit to exist at that point?
  • Evaluate the value of ((x+4)^2-4)/x as x approaches to 0?
  • How to evaluate #lim_(x->1) (x-2)/(x-1)# ?
  • How you find the limit of (1/x-1/|x|) where the x approaches 0?
  • Lim ato0 (a+x)^3/a ?
  • Evaluating Limits. Does the limit of #x ->-5# exist in the function #(x^3)/(x+5)^2#?