Question

Estimate the limit numerically.
lim 3xe−7x
x→+infinity

Answer 1

What is "xe" in this problem?

Answer 2

Sorry it is xe^-7x

Answer 3

OK, since they want you to estimate numerically, what happens when you put in large values of x into the formula?

Answer 4

10=.27356
1000= 2735.
10000=273565

Answer 5

Wait. For 10, how did you do the calculation? It should be almost 0, not .27

Answer 6

(3xe^-7x)

Answer 7

I'm pretty sure you want to do e^(-7x) first and then multiply

Answer 8

(remember the order of operations)

Answer 9

Okay but that is zero and I have tried that and the program says it is wrong

Answer 10

It is e raised to the power of -7x, right? (times x and stuff)?

Answer 11

yes

Answer 12

e^(-7x) decreases very quickly, much faster than x or anything increases.