Relative Rates of Growth NEED HELP ASAP PLS!

Question

Which of the following functions grows at the same rate as e^x as x goes to infinity? (4 points)

Answer Choices

	ex+3
	e3x
	e2x
	e-x

Answer 1

The key to answering this question is to compare using the limit of a ratio. For example. if I take the limit of e^3x/e^x as x goes to infinity, you would use exponent rules to subtract the exponents to get the limit of e^2x as x goes to infinity. This would result in infinity. If they grow at the same rate, the limit should equal a number that is larger than 0 but less than infinity. Check the limit ratios for the other 3. Only one of those options will result in a constant larger than zero which is what you are looking for.