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Black_prince [1.1K]
3 years ago
8

What is the range of the function (e^x)/(e^x)+c? Assume that c is a constant greater than zero.

Mathematics
1 answer:
mr_godi [17]3 years ago
4 0
Try this explanation:
1. if to re-write the given function as:
y= \frac{e^x}{e^x+C}; \ \ \textless \ =\ \textgreater \  \ y=1- \frac{C}{e^x+C};
then it is possible to define its range:
2)   
\lim_{x \to+ \infty}[1- \frac{C}{e^x+C}]=1;  \\ \lim_{x \to- \infty}[1- \frac{C}{e^x+C}]=0

answer: (0;1)
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