I am not sure about my answer. (limits)

[mikagurl]

Hi all. My problem is to evaluate the limit as x approaches infinity of e^(2-4x-8x^2). For clarification the () is the entire exponent. I started by taking the limit of the exponent. I factored out the x^2 and I got x^2(2/x^2-(4/x)-8) which will go to - infinity?? If the exponent goes to - infinity then the exponential should go to zero? I got zero for my final answer I am just not sure if my process is correct. Please provide guidance thanks!!!

 

[Ishuda]

Hi all. My problem is to evaluate the limit as x approaches infinity of e^(2-4x-8x^2). For clarification the () is the entire exponent. I started by taking the limit of the exponent. I factored out the x^2 and I got x^2(2/x^2-(4/x)-8) which will go to - infinity?? If the exponent goes to - infinity then the exponential should go to zero? I got zero for my final answer I am just not sure if my process is correct. Please provide guidance thanks!!!

Yes it is correct. Good work.

 

[mikagurl]

Thanks!!!