find the limit :

Question

lim of (x^2)/ ((e^4x)-1-4x) 

 

as x approaches infinity.

Answer 1

L'Hopitals Rule nneds to be done TWICE:

 

    2x

---------------   <----  1st time still infinity over infinity

4*exp(4x) - 4

 

 

     2

-------------   --->  limit is zero

16*exp(4x)

 

exponential dominates polynomial, limit is zero