...((x-a)/(x+a))^x =e? I can't get this to work out, i'm thinking it needs to be done using logarithms to simplify it and then l'hoptial's to compute the limit, and then solve for a, but this could be wrong. Any Help would be much appreciated. Thanks
Is it Right? Evaluate the limit, if it exists : lim x-->infinity (5^x-3x)/(e^x+5x^2)?
Evaluate the limit, if it exists : lim x-->infinity (5^x-3x)/(e^x+5x^2)
lim x-->infinity (5^x-3x)/(e^x+5x^2) => Infinity/Infinity
Since it is infinity/infinity , we can use L'Hospital's rule.
So:
lim...