Evaluate the Limit

Problem

(lim_x→∞)(3*e(6*x)−2)

Solution

1. Analyze the behavior of the exponential term e(6*x) as x approaches infinity.

2. Determine that as x→∞ the exponent 6*x also approaches infinity.

3. Evaluate the limit of the exponential function, noting that (lim_u→∞)(eu)=∞

4. Apply the properties of limits to the constant multiplier and the subtraction, observing that 3*(∞)−2 results in infinity.

Final Answer

(lim_x→∞)(3*e(6*x)−2)=∞

Want more problems? Check here!