Question

Please find evaluate the limit as x approaches infinity
lim[x:∞,(5x^(3)-4x+7)/(4e^(2x)-4x-1)]

Answer 1

Do you have a solutions to this? Because at first glance, I see that for x approach in infinity the numerator and denominator approach infinity (at different speed though) but for this it seems like you will have to use L'Hospitals Rule.

The numerator will decay and the denominator will remain, so it approaches zero.

Answer 2

@Spacelimbus sorry no solutions available for this? I have been trying to work this one out for the past half hour and just can't get any where.

Answer 3

Oh I see, well as I said, my solution would be that it approaches zero, but if you don't have a solution in your textbook, or from the place you got this problem from, it's a little bit hard to tell if I am correct and I don't want to mislead you, let me try another approach on paper, just to see if I get equal results.

Answer 4

I checked again @catamountz15, my result is correct.