SOLUTION: I知 completely lost, could someone please help explain how one should go about solving this? Use the logistic growth model f(x) = 190/ 1 + 6e^- 2x Find the carrying capac

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Question 1129629: I知 completely lost, could someone please help explain how one should go about solving this?
Use the logistic growth model
f(x) = 190/ 1 + 6e^- 2x
Find the carrying capacity.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Use the logistic growth model
f%28x%29+=+190%2F+%281+%2B+6e%5E%28-+2x%29+%29
Find the carrying capacity.
solution:
The carrying capacity is the value of the function when x gets very large.
lim_%28x-%3Einfinity%29%28+190%2F%281+%2B+6e%5E%28-2x%29%29%29+=+190

explanation:
When x gets very large, the exponential in the denominator goes to 0,
lim_%28x-%3Einfinity%29+%286e%5E%28-2+x%29+%29=+0
so the denominator goes to 1:
f%28x%29+=+190%2F+%281+%2B+0+%29
f%28x%29+=+190

ANSWER: The carrying capacity for this logistic function is 190.