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...