Evaluating problems

Question

Use your graphing calculator to evaluate 

Options:

1. 0
2. e
3. π
4. 1

Answer 1

If you were to graph y = (1+2e^x)^1/x on a graphing calculator and then look at the numerical values of y as the x values get larger from the table, you would notice that your y values are getting smaller and smaller as they converge on a number around 2.7265...

Since the value of e is 2.718281828... This must be the number that the limit above is approaching as x → ∞

The answer is #2