Question

Which of the following functions grows the fastest as x goes to infinity?

3^x
ln(x)
e^4x
x^10

Answer 1

@dan815

Answer 2

@Michele_Laino

Answer 3

@Michele_Laino

Answer 4

@dan815 @Data_LG2 @dtan5457 @HelpBlahBlahBlah @HELPMEPLZ!! @jagr2713 @ganeshie8 @kropot72 @perl @Preetha @PRAETORIAN.10 @rational @SolomonZelman @sleepyhead314 @sleepyjess

Answer 5

from fastest growth, to slowest growth.

1) exponential
2) x^(to some power)
3) logarithmic

Answer 6

exponential r: 3^x and e^4x
polynomial(x to some power): x^10
logarithmic: ln(x)

Answer 7

I just dont know whether its 3^x and e^4x

Answer 8

@SolomonZelman

Answer 9

you would agree that this function is \(\large\color{black}{ \displaystyle e^{4x} }\) is bigger than \(\large\color{black}{ \displaystyle 3^{x}}\).

\(\large\color{black}{ \displaystyle e^{4x}~\Rightarrow~ \left(e^{4}\right)^x }\)
and, that is biger than \(\large\color{black}{ \displaystyle 3^x }\)

right?

Answer 10

yes

Answer 11

@SolomonZelman

Answer 12

very good. you don't need to tag me every second

Answer 13

1. \(\large\color{black}{ \displaystyle e^{4x} }\)
2. \(\large\color{black}{ \displaystyle 3^{x} }\)

Answer 14

then you tell me
3.
and
4.

Answer 15

3. x^10 4. ln(x)

Answer 16

yes

Answer 17

any questions ?

Answer 18

so this is in order of which is the fastest, yes?

Answer 19

yes, from fastest to slowest

e^(4x)
3^x
x^10
ln(x)