...miles per hour. The other expenses o? A ship uses 5x^2 dollars of fuel per hour when travelling at a speed of x miles per hour. The other expenses of operating the ship amount to $2000 per hour. What minimizes the cost of a 500-mile trip? [Hint: Express cost in terms of speed and time. The...
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...