can you help me with this problem?

Calculus
Tutor: None Selected Time limit: 1 Day

Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.)

 lim x→ln 8 
e2x − 64
ex − 8
 


Write a simpler function that agrees with the given function at all but one point. Use a graphing utility to confirm your result.
g(x) =
May 14th, 2015

1. e^(2x) = 8^2
          (eˣ)² = 8²
              eˣ = 8
         logₑ8 = x            ← by definition of logarithm
          ln(8) = x            ← ANSWER 
2.
   e^(2x) = 8^2
  ln(e^(2x)) = ln(8^2)
     2x·ln(e) = 2·ln(8)
               x = ln(8)            ← ANSWER

May 14th, 2015

is that the limit and a simplier function?

May 14th, 2015

Let me try working it out again. But meanwhile what do you think about it...

May 14th, 2015

i dont think its correct


May 14th, 2015

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