Question

What is the absolute maximum and local maximum for f(x)=2e^x

Answer 1

\[f^'(x)=2e^x\]
\[e^x=0\]

Answer 2

that function of \(\large f(x)=2e^x \) is unbounded above..

Answer 3

wouldnt it be does not exist..?

Answer 4

i know the minimum is DNE for sure

Answer 5

what does bounded and unbounded mean

Answer 6

it looks like your curve has no minimum nor max

Answer 7

it means there is no limit for the highest value of f....

Answer 8

so is it DNE?

Answer 9

yes.

Answer 10

Both absolute and local max and min are ALL DNE..?

Answer 11

do you know any thing about lim sup and lim inf,thats where i saw this bounded story

Answer 12

correct....

Answer 13

ok thanks!

Answer 14

although the function is bounded below by y=0, there is no absolute min...