Answer:
Step-by-step explanation:
To find the values of for which, the value of
belongs to
,we solve the inequality;
We multiply through by 8 to obtain;
We subtract 3 to get
Divide through by -1 to obtain;
Or
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2 answers:
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The general formula for an exponential function is
In this case, b is the base which is any real number greater than 0 and is not 1. Additionally, the domain of an exponential function is all real numbers due to the fact that the exponential function is defined by real numbers. While the range is all real numbers greater than zero.
In this case, b is the base which is any real number greater than 0 and is not 1. Additionally, the domain of an exponential function is all real numbers due to the fact that the exponential function is defined by real numbers. While the range is all real numbers greater than zero.
A graph shows the limit to be 1/2.
https://www.desmos.com/calculator/qrf6ay47tw
Since the value of the function is the indeterminate form 0/0, L'Hôpital's rule applies. The ratio of derivatives of numerator and denominator is
.. x/
Evaluated at x=1, this is
.. 1/
= 1/2
https://www.desmos.com/calculator/qrf6ay47tw
Since the value of the function is the indeterminate form 0/0, L'Hôpital's rule applies. The ratio of derivatives of numerator and denominator is
.. x/
Evaluated at x=1, this is
.. 1/