Question

Consider the function g(t) = 4 t e−t/2 . What is lim t→∞ g(t) ?   One...

Consider the function

g(t) = 4

t

e−t/2

. What is

lim t→∞ g(t)

?  
One can write the derivative of this function as

g'(t) = A g(t) + B

g(t)
t

. What is

A + B

?  
At what value of

t

does

g(t)

obtain its maximum value?

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